What is the range of values for p if |2p – 3| < 2?

Answer Choices

Correct answer marked below

1 < p < 2

0 < p < 3/2

-1 < p < 5/2

1/2 < p < 5/2

Correct

p < 5/2

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Explanation

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Official Explanation

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To find the range of values for p when |2p – 3| < 2, we first consider the case when (2p - 3) is positive. We have: 2p - 3 < 2, which simplifies to 2p < 5, leading to p < 5/2. Now, we consider…

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Comments

DibyashreeOct 10, 2024

how much time should this take to solve?

ThanhFeb 27, 2024

cheers!

What this question tests

What it tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Common trap

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.