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3 years ago

D = {x|x is a whole number}

Mathematics

1 answer:

pickupchik [31]3 years ago

4 0

The given statement is true.

Step-by-step explanation:

Given sets are:

D = {x|x is a whole number}

E = {x|x is a perfect square between 1 and 9}

F = {x|x is an even number greater than or equal to 2 and less than 9}

as the sets are given in set builder notation,, we will first write the sets in set notation.

So,

D = {0,1,2,3,4,...}

E = {4,9}

F = {2,4,6,8}

Now,

EUF = {4,9} U {2,4,6,8}

= {2,4,6,8}

Hence,

The given statement is true.

Keywords: Union,sets

Learn more about sets at:

#LearnwithBrainly

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Answer:

The system that models the situation is:

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The solution is:

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Step-by-step explanation:

We must write the equations as indicated in the problem.

The sum of twice a number and another number is 24

a number: x

other number: y

Then

$2x + y = 24$

The difference of twice the first number and the other number is 12

first number: x

other number: y

Then:

$2x - y = 12$

The system that models the situation is:

$\left \{{{2x + y = 24} \atop {2x - y = 12}} \right.$

To solve the system we add both equations to find the value of x

$2x + y = 24\\\\2x - y = 12$

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$4x +0 = 36\\\\x=\frac{36}{4}\\\\x=9$

$2(9) +y = 24\\\\y=24-18\\\\y=6$

The solution is:

(9, 6)

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