Free Practice Question
PS · Problem Solving
505-555
Inequalities
Given the inequality -12 ≤ 2 - 5p ≤ 38, what is the difference between the maximum and minimum possible values of p?
Answer Choices
Correct answer marked belowA
4
B
5
10
Correct
D
15
E
18
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Explanation
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Official Explanation
Official
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
2
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S
ShagunSep 22, 2024
Great!
S
SamidhaAug 2, 2024
Great question!
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.
Details
Difficulty
505-555
Type
PS
Category