2 Answers

Osulehria · Answer 1 · 2022-05-10T18:56:10+0000

Answer:

The third choice,
$x\leq -8$

Explanation:

One way to do it is to substitute in the potential answers. I'll show you here.

Choice 1

$2(-2)+3\leq (-2)-5$

$-4+3\leq -2-5$

$-1\leq -7$

We can see that this is false, so the answer cannot be choice 1.

Choice 2

$2(2)+3\leq (2)-5$

$4+3\leq 2- 5$

$7\leq -3$

This is also false, so the answer cannot be choice 2.

Choice 3

$2(- 8)+ 3\leq (-8)-5$

$-16+3\leq -8-5$

$-13\leq -13$

This is true. Let's see if choice 4 works.

Choice 4

$2(8)+3\leq (8)-5$

$16+3\leq 8-5$

$19\leq 3$

This is not true. Therefore, 3 is correct.

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