Given the inequality -12 ≤ 2 - 5p ≤ 38, what is the difference between the maximum and minimum possible values of p?

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Official Explanation

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Let's analyze the inequality in two parts. First, we consider -12 ≤ 2 - 5p. Rearranging gives us -14 ≤ -5p, which simplifies to p ≤ 2.8. Next, we look at the second part of the inequality, 2 - 5p ≤…

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Comments

ShagunSep 22, 2024

Great!

SamidhaAug 2, 2024

Great question!

PaoloSep 12

thanks, this one was pretty straightforward once you split it up

TrevorSep 18

agreed, isolating p in the middle does the trick

FranciscoJun 12

subtract 2 first then divide by -5, remember the signs flip. easy to mess up on a 505-555 question

KiantiJun 26

yep the flip is the trap here

BaoJun 15

got it right but spent too long. is there a faster way than doing both sides?

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.