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3 years ago

Elect the correct answer.

Mathematics

2 answers:

ahrayia [7]3 years ago

8 0

It's A:
(-∞, -5]
And the set-builder notation is:
{y|y < -5}

Oksana_A [137]3 years ago

8 0

I think it is A
Hope this help you?!

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Hi, there I'll help you since no one helped you which I felt sad lol, but anyway here's your answer

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3 years ago

Which of the following is the correct graph of the solution to the inequality-18>-5x+2>-48

makvit [3.9K]

Answer:

Step-by-step explanation:

we have

$18 > -5x+2 > -48$

This is a compound inequality

Remember that

A compound inequality i can divide in a system of two inequalities

$18 > -5x+2$ -----> inequality A

$-5x+2 > -48$ ---> inequality B

step 1

Solve the inequality A

$18 > -5x+2$

Multiply by -1 both sides

$-18< 5x-2$

$-18+2< 5x$

$-16< 5x$

Divide by 5 both sides

$-3.2< x$

Rewrite

$x > -3.2$

The solution of the inequality A is the interval ----> (-3.2,∞)

step 2

Solve the inequality B

$-5x+2 > -48$

Multiply by -1 both sides

$5x-2 < 48$

$5x < 48+2$

$5x < 50$

Divide by 5 both sides

$x < 10$

The solution of the inequality B is the interval ----> (-∞, 10)

step 3

Find the solution of the compound inequality

(-3.2,∞) ∩ (-∞, 10)=(-3.2,10)

All real numbers greater than -3.2 and less than 10

The graph in the attached figure

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