Write each set of numbers in set-builder and interval notation

X>50

Answers

Answer 1

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)


Related Questions

I need help with this

Answers

-4,3 is the answer:)
The second one is the answer

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B

The mixed number 1 7/8 can be expressed as 17/8 True False​

Answers

Answer:

False

Step-by-step explanation:

1 7/8 =15/8

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

C. y = 91

Step-by-step explanation:

you are given that x and y are proportional, this means that you can out them in a fraction

so when x is 8, y is 56, this can be written as 8/56

you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction

so now we have 8/56 = 13/y

cross multiply 56 and 13, and 8 and x

you now have: 8y = 728

divide both sides by 8

you get y = 91

1+1 pls, help, I will give you brainliest answer!!! just hellllllp!!!!!​

Answers

Answer:

2!!!

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

1+1=2

Step-by-step explanation:

Brainliest please!

please answer if you can? (This is my math from 8th grade)

Answers

Answer:

40!

Step-by-step explanation:

3x+20+40=180

3x+60=180

3x=120

x=40

Answer:

b=40

Step-by-step explanation:

pls help ill give brainleist​

Answers

I think it’s C. Im not completely sure.

Answer:

Answer is D hope this helped u :)

Step-by-step explanation:

does anyone know how to do this?

Answers

Answer:

112

Step-by-step explanation:

beacuse 180-68=112

each year lizza school purchased agenda books, which are sold in the school this year the school purchased 350 books at a cost of 1,137.50 if the school would like to make a profit of 1,500 to pay for field trips and school activities, what is the least amount they can charge for each agenda book

Answers

Old price: 1,137.50 / 350 = 3.25
New price (at least): 1,500 / 350 = 4.3 (result is rounded)

Find the slope using the formula.
(-2, -8) and (4, -6)

Answers

Answer:

1/3

Step-by-step explanation:

-8 - -6 = -2

-2 - 4 = -6

-2/-6 = 2/6 = 1/3

Manuel earned a grade of 80%. He got 16 correct. How many problems were on the test? plz solve quick

Answers

Answer:

20

Step-by-step explanation

I really need help ​

Answers

Answer:

A and D

Step-by-step explanation:

Hope this helps!

what is the solution of the proportion 22/11 = r/13

Answers

Answer:

r=26

Step-by-step explanation:

22/11=r/13

11r=286

r=26

Mr. Dudley is writing a test for his mathematics class. The test will have true/false
questions worth 2 points each and multiple-choice questions worth 4 points each for a
total of 100 points. He wants to have twice as many multiple-choice questions as
true/false questions. How many true/false questions and multiple-choice questions will
be on the test?

Answers

Answer:

10

Step-by-step explanation:

so x=true/false questions

y=multiple-choice questions

2x+4y=100

2x=y

plug in 2x for y in the first equation

2x+4(2x)=100

10x=100

x=10

y=20

The total questions would include 10 true/false questions and 20 multiple-choice questions.

We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.

We have to determine how many true/false questions and multiple-choice questions will be on the test.

What do understand by Modelling of a Equation ?

The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.

According to the question -

Assume that the number of true/false questions be x.

Assume that the number of multiple-choice questions be y.

Then -

y = 2x

Points for each true/false questions - 2 points

Points for each multiple-choice questions -  4 points

Total points of test = 100 points

Now,

Model the equation on the basis of above information -

2x + 4y = 100

2x + 4 (2x) = 100

2x + 8x = 100

10x = 100

x = 10

Therefore -

y = 2x = 2 x 10 = 20

Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.

To solve more questions on Equation modelling, visit the link below -

brainly.com/question/689722

#SPJ6

please please help me!!

Answers

Answer:

slope is 4

Step-by-step explanation:

slope of the line is the diference in y /diference in x between any 2 points that belong to the line

slope=(10-2) / (3-1) = 8/2 =4

Which statement best describes a ratio

Answers

Answer: Where are the options?

Step-by-step explanation:

The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship?
How many apples can she pick per hour? Drag numbers to complete the statements.
Numbers may be used once, more than once, or not at all.

Answers

Answer:

The answer is y=75x, Erin can pick 75 apples per hour

Step-by-step explanation:

Normally you'd find two points and then use rise over run, but since there's an exact point (75) over 1 in the x plane, you don't need to simplify as it's already done for you

don't know what I was thinking
Leaving my child behind
Now I suffer the curse
Knowing now I am blind
With all this anger, guilt and sadness
Coming to haunt me forever
I can't wait for the cliff at the end of the river
Is this revenge I am seeking
Or seeking someone to avenge me
Stuck in my own paradox
I wanna set myself free
Maybe I should chase and find
Before they'll try to stop it
It won't be long before I'll become a puppet
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
I wish I lived in the present
With the gift of my past mistakes
But the future keeps luring in like a pack of snakes
Your sweet little eyes
Your little smile, is all I remember
Those fuzzy memories mess with my temper
Justification is killing me
But killing isn't justified
What happened to my son, I'm terrified
It lingers in my mind
And the thought keeps on getting bigger
I'm sorry my sweet baby
I wish I've been there
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother

Answers

I love that song lol

It’s been in my head forever now
          (っ◔◡◔)っ ♥ Hey Honey Here!♥answer♥

bro this is so sad....

                            ♥  お力になれて、嬉しいです

Select the correct statement about the function represented by the table.

Answers

Answer:

Option (A)

Step-by-step explanation:

x                y                  Ratio [tex](\frac{y_2}{y_1})[/tex]

1                7                       -

2              21                   [tex]\frac{21}{7}=3[/tex]

3              63                  [tex]\frac{63}{21}=3[/tex]

4             189                 [tex]\frac{189}{63}=3[/tex]

5             567                [tex]\frac{567}{189}=3[/tex]

Since, there is a common ratio in each successive term of y over the equal interval of x values,

Given table will represent an exponential function.

Therefore, Option (A) will be the correct option.

Amna wants to rent a boat and spend less than 51 . The boat costs 6 per hour, and Amna has a discount coupon for 3 off What are the possible numbers of hours Amna could rent the boat?

Answers

Answer:

9 hours or less. with a $3 off coupon she could spend up to $54. divide that by $6 per hour and that gives you a possibility of nine hours of boat rental.

help please- asap :}

Answers

Answer:

The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.

Step-by-step explanation:

We need to complete the table.

Positive Integer: value having + sign

Negative Integer : Value having - sign

The digits in bold are those that were given, and other two we had to fill

Positive Integer       Negative Integer   Value

15                                   -15                         15

101                                 -101                        101

4                                   -4                            4

82                                 -82                         82

1121                              -1121                        1121

33                                 -33                         33

10                                  -10                          10

999                             -999                        999

47                                 -47                           47

1                                    -1                                 1

Prove or give a counterexample: Every positive integer can be expressed as the sum of three or fewer perfect squares. (A perfect square is an integer n for which there is an integer k with the property: n

Answers

Answer:

Statement is incorrect

Step-by-step explanation:

Every positive integer cannot be expressed as the sum of three or fewer perfect squares.

Supposing the number 7 only squares less than are 0, 1  and   4

Clearly 7 can not be written using three or fewer of these numbers

It is proved

By taking Cube root of 7

[tex]\sqrt[3]{7}[/tex] = 1.912931183

Now By taking  

[tex]\sqrt{7}[/tex] = 2.64575131

So both values 1.912931183 and 2.64575131 are not positive integers.

Hence the statement is incorrect.

In a survey of 2,100 people owned a certain type of car, 1365 said they would by that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

65%

Step-by-step explanation:

Percentage = 1365/2100 *100

= 65%

(07.03)
What is the solution to the following equation? (4 points)
5(2x - 6) + 20 = 10
a
9 5
Ob
3
2

Answers

x = 2

5(2 • 2 - 6) + 20

5(2x - 6 )+ 20 = 10

10x - 30 + 20 = 10

10x - 10 = 10

+10 +10

10 / 10x = 20 / 10

x = 2

9. Given p = 2i + 2j + k and q = 4i + k. Find
(a) p • q
please help ASAP for 25 points and brainliest :)​

Answers

12

Step-by-step explanation:

because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide

Ben and josh went to the roof of their 40-foot tall high school

Answers

What is the question I do not see no question so how I’m supposed to answer

If the temperature is 5°F outside and the wind is blowing 15 miles an hour, the wind chill makes it feel like the temperature is 25°F below zero. Which integer represents the wind chill temperature? * PLZ HELP

Answers

Answer:

-30

Step-by-step explanation:

5-(-25)

=30

(has nothing to do with wind speed)

PLS GIVE BRAINLIEST

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Below zero degrees means the temperature is in negative value.

The integer that represents the wind chill temperature is -25°F.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Temperature outside = 5°F

The wind is blowing 15 miles an hour.

The wind chill makes it feel like the temperature is 25°F below zero.

Below zero degrees means the temperature is in negative value.

This can be represented by an integer as,

= -25°F

Thus,

The integer that represents the wind chill temperature is -25°F.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Which property would you use to simplify the following expression 4(y+5)

Answers

Distribution property. You would distribute 4 into (y + 5), giving you the answer 4y + 20.

PLEASE HELP PICTURE ATTACHED

Answers

Answer:

x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]

Step-by-step explanation:

Answer:

I do not fully understand this question so I will try to answer it the best I can.

25x^2-10x^2-13x=-7

15x^2-13x=-7

That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.

PLEASE HELP!

Identify the y-intercept and zeros of
[tex] y = {x}^{4} - 9 {x}^{2} - =3[/tex]
Algebraically​

Answers

Answer:

y intercept: (0, -36)

zeros: 2 √ 3 ,  − 2 √ 3 ,  i √ 3 ,  − i √ 3

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