Free Practice Question

PS · Problem Solving

505-555

Inequalities

What is the number of distinct positive integer values for x that satisfy the inequality $|x+5|<x$ ?

Answer Choices

Correct answer marked below

0

Correct

B

1

C

2

D

5

E

10

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Official Explanation

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To determine how many distinct positive integer values of x satisfy the inequality |x+5|

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C

ChristopherMar 27, 2025

thank you very much!

P

PatrickApr 8, 2024

thanks!

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.

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What is the number of distinct positive integer values for x that satisfy the inequality ∣x+5∣<x|x+5|<x∣x+5∣<x?