1 Answer

Colin Hale · Answer 1 · 2024-12-21T07:38:04+0000

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Step-by-step explanation:

The p is a placeholder for a number. In this case, it represents -3

For each answer choice, replace p with -3. Then simplify fully.

Let's do so for choice A.

$2p \le -6\\\\2(-3) \le -6\\\\-6 \le -6\\\\$

We arrive at a true statement. This makes choice A one of the answers.

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Now onto choice B.

$(24)/(p) < -9\\\\(24)/(-3) < -9\\\\-8 < -9\\\\$

The third statement is false. Use a vertical number line to see why. Therefore, cross choice B off the list.

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Choice C

$p + 5 \le 2\\\\-3 + 5 \le 2\\\\2 \le 2\\\\$

The final statement is true, making choice C the other answer.

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We can stop here since we found choice A and choice C as the two answers.

For the sake of completeness, let's look at choice D.

$10 + p \le 6\\\\10 + (-3) \le 6\\\\10-3 \le 6\\\\7 \le 6\\\\$

The false final statement allows us to cross choice D off the list.

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