Write the set of real numbers x less than 6 in set builder notation

Answers

Answer 1

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real numberx is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation


Related Questions

if you have 5 red shirts, 4 blue shirts and 7 green shirts how many apples do you have?

Answers

I’m gonna say 69
Yeah I think that’s the right answer

Answer:

About 4 oranges I think...

(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?

Answers

Answer:

It's the last answer choice

Step-by-step explanation:

2x+3> -9

2x+3-3> -9-3

2x> -12

2x/2> -12/2

x> -6

Answer:

d

Step-by-step explanation:

If xy>0, then the points of P(x,y) lies...

Answers

Answer:

In Quadrant I or III

Step-by-step explanation:

We know if the sign was not showing closed inequality facing other way

xy < 0 would be in the 2nd or 4th quadrant.

If xy = 0  then either xy or both are on the x or y axis

But if xy>0 then they are in quadrant I or III

If xy>0, then the points of P(x,y) lies in Quadrant I and III

Quadrants on the Cartesian plane

According to the given condition;

xy > 0

This means that the product of x and y is a positive number.

Hence, either both x and y-coordinates are positive or are both negative

Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.

Read more on Cartesian plane;

https://brainly.com/question/14325342

4(2+a)=24 what is the answer

Answers

Given:

4(2 + a)= 24

Use Distributive Property:

8 + 4a = 24

Subtract 8 to both sides:

4a = 16

Divide 4 to both sides:

a = 4

Answer:

A = 4

Step-by-step explanation:

Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.

1) Use the distributive property to simplify the first part of the equation.

4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.

(8 + 4a)

2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.

2a. Subtract 8 from both sides of the equation:

8 + 4a - 8 = 24 - 8.

So now you have 4a = 16.

2b. Divide 4 from both sides of the equation.

4a/4 = 16/4

So now you have a = 4.

Final answer:

A = 4

Please help me please

Answers

Answer:

C : 414.7

Step-by-step explanation:

I do not completely know if this is right or not, but I used reasoning to figure this out. I can easily find the area of a circle just based on the radius of it, and the radius of the circle (all parts included) is 452.39. And since the percentage of the shaded circle would have to be a lot larger to have the unshaded area only be 188, then I can reason that 414.7 would be the most reasonable answer.

Poor preparation is a deadly mistake, demonstrating to the employer a lack of interest. Using your checklist (above), develop your answers to these common interview questions, following the adivce (below) for each question.

The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?

The range of the function f(x) = 3x3 when its domain is {2, 5} is

Answers

Answer:

[tex]Range = [24, 375][/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3[/tex]

[tex]Domain = [2,5][/tex]

Required

Find the Range

The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5

When x = 2;

f(2) is as follows;

[tex]f(2) = 3*2^3[/tex]

[tex]f(2) = 3 * 8[/tex]

[tex]f(2) = 24[/tex]

When x = 5;

f(5) is as follows;

[tex]f(5) = 3*5^3[/tex]

[tex]f(5) = 3 * 125[/tex]

[tex]f(5) = 375[/tex]

Hence, the range of the function is [24, 375]

Six times a number is greater than 20 more than that number. What are the possible values of that number?
N<4
N>4
N> 20/7
N<20/7

Answers

Answer:

N>4

Step-by-step explanation:

Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.

A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?

Answers

Answer:

105 cars

Step-by-step explanation:

150cars=100%

and if 30% of the cars are sedans then the cars which are not sedans is

100%-30% =70%

if 150 cars=100%

? cars=70%

if less more devides

70%/100%×150cars

all zeros cancel which would be left with

7× 15

105 cars.

Answer:

The answer is 105

So that 30% of those cars are 45 Sedans of the 150 cars.

Now we need to find out how many cars are in that remaining 70%

In order to do this we need to subtract 45 from 150

So 150 minus 45 is 105

Finally, we know that that remaining 70% is 105 cars that aren't Sedans.

So 105 cars are not Sedans.

Find the rate of change for each linear function

decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm

Answers

Answer:

Answer = decrease of 22 m/min

Help. I’m new to learning functions like this

Answers

Answer:

Please I can't see it it clearly

Please make it a little more clear on what the question is asking

if I weighed 12 stones and lost 5lb , how much would I weigh?​

Answers

Answer: 163 pounds

Step-by-step explanation: 12 stones is 168 pounds

Answer:163 lbs

Step-by-step explanation:

12 stone in lbs is 168 so 168-5= 163 lbs

PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?

Answers

Answer:

there is only 1 but you have some left over so maybe 2

Answer:

Hey!

Your answer is about 3/2 servings!!

Step-by-step explanation:

HOPE THIS HELPS!!

find the area of the shape attached

Answers

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

A 3-gallon container of window cleaner costs $15.84. What is the price per quart?
*Hint: 1 gallon = 4 quarts*

HURRY DUE SOON PLEASE AND THANK YOU :)

Answers

Answer:

1.32

Step-by-step explanation:

3 gallon = 1

12 quarts = 4

12 quarts =1

$15.84=  1.32

Answer:

$1.32 per quart

Step-by-step explanation:

To find the price per quart, we must divide the price by the number of quarts.

price / quarts

We are told that a 3 gallon container costs $15.84. First, we must find out how many quarts are in 3 gallons.

We know that 1 gallon is equal to 4 quarts.

Let’s set up a proportion.

quarts/ gallons = quarts/ gallons

4 quarts /1 gallon = x quarts/ 3 gallons

4/1= x/3

Multiply both sides by 3

3*4/1= x/3*3

3*4/1=x

3*4=x

12=x

There are 12 quarts in 3 gallons.

Now we know how many quarts are in 3 gallons. We can find the price per quart.

price / quarts

It costs $15.84 for 12 quarts.

$15.84/12 quarts

Divide 15.84 by 12

$1.32 / quart

It costs $1.32 per quart of window cleaner.

What is the value of x?
A-14
B-15
C-16
D-17

Answers

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?

Answers

Answer:

I do not know this is harddd

Please help me i have 15 minutes left please help ill give 15 points

Answers

Step-by-step explanation:

Find the volume of the prism. PLS HELP

Answers

Answer:

90in^3

Step-by-step explanation:

v=w*h*l=3×5×6=90

90in^3 that’s the answer I just took the quiz and made a 100

First person to answer gets Brainliest.

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Volume = 250 ft³

Answers

Answer: 4.97 ft

Step-by-step explanation:

h = V / pi r^2

h = 250 / 3.14 x 4^2

does anyone know the answer to this ?

Answers

Answer:

the horse walked 20 feet away i think

Step-by-step explanation:

i say this because it shows an arrow from a horse to the 20 square feet

Answer:

Step-by-step explanation:

it is a three quarter circle with radius=7.1 ft

reqd. area=3/4 πr²

=3/4×π×7.1²

≈3/4×3.14×7.1²

≈118.72 ft²

Which is the best reason why 2/3 is the exact quotient for 1/4 divided 3/8

Answers

Because if you divide 1/4 by 3/8 you get 2/3.

Can you people help me please

Answers

Answer:

A: 5/23

Step-by-step explanation:

First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.

The question is asking what the odds of pulling a dime are.

Since there is 46 coins in the jar, you can just do a fraction and set it up like this:

10

46

From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23

Hope this helps, give brainliest pls blah blah blah

x = ??
a) 1
b) 3
c) 7

Answers

Answer:

X=3

Step-by-step explanation:

A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?

Answers

Answer:

1. 140 in²

2. 2.25 in²

3. 182 in²

4. 55 in²

5. 374.75 in²

Step-by-step explanation:

1. Area of each triangle: 10*7*1/2 = 35 in²

Area of the roof = 4*35 = 140 in²

2. Area of the entrance hole: 1.5*1.5 = 2.25 in²

3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²

Area of the sides: 4*45.5 = 182 in²

4. Area of the square of the base: 5*5 = 25 in²

Area of each rectangle: 1.5*5 = 7.5 in²

Area of the four rectangles = 4*7.5 =  30 in²

Area of the base: 25 + 30 = 55 in²

5. The  total amount of material  needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²

What is the simplified form of the expression? 6/√5−√2

Answers

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

Which is the most efficient way to solve this equation?

+4=17


Subtract 4
from both sides because that will result in an equivalent equation with
alone on one side.


Subtract 17
from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.


Add 4
to 17
because
equals 21

Answers

Answer:

Which is the most efficient way to solve this equation?

+4=17

Subtract 4

from both sides because that will result in an equivalent equation with

alone on one side.

Subtract 17

from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.

Add 4

to 17

because

equals 21.

Step-by-step explanation:

MARK ME AS THE BRAINIEST

8x−3=−19+6x
8
x

3
=

19
+
6
x

x=−8

x=8

x=11

x=−11

Answers

Answer:

Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...

Step-by-step explanation:

Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?​

Answers

Answer:

Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answe ris 4=67 *64  ---4 67x54 5xe4t4 6x

||x-5|+2|<=3
please help

Answers

Answer:

x e [-10,-4]

Step-by-step explanation:

||x-5|+2|≤3

|x+5+2|≤3

|x+7|≤3

x+7≤3

x≤-4

x+7≥-3

x≥-10

x e [-10,-4]

A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

200 miles

Explaination:

in order to fiind the point of interaction you must put the world problem into an liner equation.

y=mx+b

key:

miles : x

y= 0.70x + 120

&

y= 0.90x + 80

now you put them together

0.70x + 120 = 0.90x + 80

-0.70x. -0.70x

____________________ subtract slope from both sides

120 = 0.20x + 80. ( doesn't matter which one)

-80 - 80

____________________ subtract

40 = 0.20x

_________ Divide each # with the slope

0.20 0.20

200 = x

hope this helps!

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