Given that Q + |m| > |Q| + m, which of the following statements about inequalities is accurate?

Answer Choices

Correct answer marked below

Q = m

Q ≤ m

m < 0

Q > m

Correct

Cannot be determined

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Explanation

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Official Explanation

Official

If Q + |m| > |Q| + m, we can analyze the inequality. The expression |m| represents the absolute value of m, which is always non-negative. The term |Q| is also non-negative. The inequality suggests that the left side, Q +…

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Comments

BrianApr 22, 2025

Can someone explain it other way?

RockyFeb 5, 2024

greatt question!

TimJun 11, 2024

thank you for sharing

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.