A and B are sets of real numbers defined as follows.A= {z│z > 4}B= {z│z ≤ 9}Write A U B and A ∩ B using interval notation. If the set is empty, write Ø

Answers

Answer 1

Answer:

 [tex]AnB=(5,6,7,8,9)[/tex]

[tex](AUB)=(5,\infty) U (-\infty,9)[/tex]

Step-by-step explanation:

From the question we are told that

A= {z│z > 4}

B= {z│z ≤ 9}

Generally A&B are assumed to be really integers

therefore

A={5,6,7,8,.....}={z│z > 4}

B=(9,8,7,6.....)={z│z ≤ 9}

a)For [tex]AnB[/tex]

Mathematically the [tex]AnB[/tex] is given as

[tex]AnB[/tex]=[tex]A=(5,6,7,8,9,10......) n B=(9,8,7,6,5,4,3,2,1......)[/tex]

[tex]AnB[/tex]=(5,6,7,8,9)

Therefore the intercept [tex]AnB[/tex]  is Given as

[tex]AnB=(5,6,7,8,9)[/tex]

b) for [tex]AuB[/tex]

Mathematically the [tex]AuB[/tex] is given as

[tex]AuB[/tex]=[tex]A=(5,6,7,8,9,10......) U B=(9,8,7,6,5,4,3,2,1......)[/tex]

[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]

Therefore the union [tex]AuB[/tex] i given as

[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]


Related Questions

simplify this algbraic expression completely 5y-3(y+2)

Answers

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

Please help, I will mark brainliest!

Answers

Answer: \frac{n^3-5n^2-3n-27}{n^2-8n-9}

Step-by-step explanation: enter this into a fraction calculator to see what is really is. sorry i needed to put this in a fraction calculator to put it here, i wish i couldve written it normally :(

ILL BRAINLIEST
Dan bought x grams of sugar. Clare bought 2/5 more than that. Which equation below represents the relationship between the amount of sugar Dan bought, x, and the amount Clare bought, y? *

y = 2/5x

y = 4/5x

Y = x + 2/5x

y = x - 2/5x

Answers

Answer: d

Step-by-step explanation:

Find the slope of the line.

3,2 6,3

Answers

the slope is 1/3 or m=1/3

Lisa made 42 gallons of cider over two days. She made twice as many gallons of cider on day two as she made on day one. How many
gallons of cider did Lisa make on day two?

Answers

Answer: 28

Step-by-step explanation:

First you divide 42 by 3 and get 14

14 times 2 is 28 and 14+28= 42

so Lisa made 14 gallons of cider on day one and 28 gallons on day two

what is the domain of h?

Answers

Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

Cedric has a credit card with a line of credit at $4,000. He made the following purchases: $425.36, $358.33, $377.11, and $90.20. What is Cedric's available credit?

Answers

Answer:

2,749

Step-by-step explanation:

adding all of the purchases = 1,251 so 4,000-1,251=2,749

PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

Answer: itIs c for sure

Step-by-step explanation:

Answer:

A should be correct

Step-by-step explanation:

Because there is a right angle present in the diagram, that means it equals 90 degrees. Therefore, the first option is correct.

Hope this helped! :D

what is the y-intercept of the following equation ​

Answers

this is the y intercept! glad I can help :)

just answer the questions to the bottom

Answers

Answer:this is hardbejjjjjjjjjjjjjjjjjfbvj2248932483Step-by-step explanation:

sorry..i dont know i felt like this was funny..

Find the value of x. Then find the measure of each angle.

1. x =

2. Angle =

3. Angle =

Answers

1. x+(x-26)= 180 (being corresponding angle)

2x-26=180

2x=180-26

2x=154

x=154÷ 2

∴x=77

Select the domain and range of the function f(x)=7x5 .

Answers

Domain is -infinite, infinite
Range is 35

That problem bc I know how to tofu it but I want to make sure

Answers

Answer:

Step-by-step explanation:

[tex]5c^{2}[/tex] +2c -3

Answer:

Here,

[tex]5c {}^{2} + 7c - 5c - 3[/tex]

Now,

[tex]5c {}^{2} \ + 2c - c[/tex]

Hence, it is the simplified form.

On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row?

Answers

Answer:

naruto

Step-by-step explanation:

A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume
that the masses of the liquid and the cup are independent.
Here are summary statistics for the masses of the liquid and the cups:
Mean
Standard deviation
Liquid
HL
250 g
D = 20 g
Cup
HC = 150g
a = 10g
Let T = the total mass of a randomly selected cup filled with liquid from this machine.
Find the mean of T.
HT =
grams
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:400

Step-by-step explanation:

The mean of T is the expected weight of a selected cup filled with liquid

The mean of T is 400

The data on the table is given as:

               Mean    Standard Deviation

Liquid      250g              20g

Cup         150g                10g

Represent Liquid with L, and cup with C

To calculate the mean of T, we make use of the following formula for expected value

E(L + C)

Since L and C are independent random variables, then

[tex]E(L + C) = E(L) + E(C)[/tex]

Where E(L) and E(C) are the mean values of liquids and cups.

The equation becomes

[tex]E(L + C) = 250g + 150g[/tex]

[tex]E(L + C) = 400g[/tex]

Hence, the mean of T is 400

Read more about mean at:

https://brainly.com/question/13005177

The ratio of red to blue marbles in a bag is 3:2. If there are 20 total marbles in the bag, how many blue marbles are in the bag?

Answers

Answer:

8

Step-by-step explanation:

Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then

3*x+2*x= 20

= 5x

Divide both sides by 5 to get

x=4

2*x is the amount of blue marbles, and 2*x = 8

A rectangular stage is 6.25 feet long and 12 feet wide. What is the area of the stage in square feet?

Answers

Answer:

The area of the stage is 75 sq. ft. (ft²)

Step-by-step explanation:

Use " l * w = area"

6.25 * 12 = A

A = 75

The eguation Y-3=-2(X+5) is written in point-slope form. What is the y-intercept of the line?
-13
-7
2
8

Answers

Answer:

-7

Step-by-step explanation:

As it says, the equation is written in point-slope form (y-y1=m(x-x1). We'll convert the equation to slope intercept form (y=mx+b), as the b in that equation is the y intercept.

here's the equation:

y-3=-2(x+5)

do the distributive property on the right side

y-3=-2x-10

add 3 to both sides

y=-2x-7

since -7 is in the place of b, the y intercept is -7.

Hope this helps!

Answer:

B. -7

Step-by-step explanation:

Given function:

y - 3 = - 2(x + 5)

y-intercept is the point (0, y) where the line intersects y- axis

Finding y, at x = 0:

y - 3 = - 2(0 + 5)y - 3 = - 10y = - 7

Correct option is B


What is the reciprocal of 5/4

Answers

Answer:4/5

Step-by-step explanation:

U know it's baby #####

What is an equation of the line that passes through the point (-6,-8)(−6,−8) and is parallel to the line x-2y=6x−2y=6?

Answers

Answer:

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope  

1

2

and a given point  

(

0

,

0

)

to substitute for  

x

1

and  

y

1

in the point-slope form  

y

y

1

=

m

(

x

x

1

)

, which is derived from the slope equation  

m

=

y

2

y

1

x

2

x

1

.

Step-by-step explanation:

an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park​

Answers

Answer:

457

Step-by-step explanation:

value of 1556

explanion

There are 351 identical plastic chips numbered 1 through 351 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212

Answers

212/351

or

211/351

cos less than

Please help me,I will be very grateful

Answers

Answer:

Step-by-step explanation:

thank you for your regarding..

GUYS PLS HELP 45 POINTS AND BRAINLIEST FOR CORRECT ANSWER!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

(-3, 5) lie in the 2nd quadrant and it is given by point A

A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a fraction or percent rounded to the nearest tenth.

The probability that both are silver hoop earrings is:

Answers

Answer:

2 + 2 = 4 total earrings in the box.

If you put the earring back into the box before taking out the second, it would be 1/2 * 1/2 = 1/4, 25%.

Answer:

1/6 or 16.7%

Step-by-step explanation:

There are a total of 4 earrings in the box: 2 pairs of earrings + 2 pairs of earrings.

If you return the first earring to the box before removing the second, the answer is 1/2 * 1/2 = 1/4, or 25%.

If you remove the first earring from the package, the response is 1/2 * 1/3 = 1/6, or 16.7%.

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9

Answers

Answer:

The probability is 1/6

Step-by-step explanation:

Since we are rolling a pair of die, the number of expected results is 36

Sum that can be greater than 9 include;

4,6

6,4

5,5

6,5

5,6

6,6

This shows 6 out of a possible 36

So the probability will be 6/36 = 1/6

Can anyone help me with these? PLEASE!!!

Answers

I can’t see them good try taking the pictures better please

whats 10424123^2. yep have fun

Answers

108,662,340,319,129 that is the answer

what is the opposite of 7​

Answers

Answer:

-7 is the opposite of 7

Step-by-step explanation:

pls mark brainliest to help rank

You are helping create goodie bags for a class party. You have bags Reeses and
lollipops. Resses come in packages of 18 and lollipops in packages of 36. We don't want
any leftover! You want to create the greatest number of goodie bags with no candy
leftover! If the candy is divided evenly among the goodie bags, how many lollipops
would be in each bag?

Answers

Answer:

I'm not sure on what your asking could you explane

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