If 0 b + c II. c – a > b - a III. c/a < b/a

Free Practice Question

PS · Problem Solving

sub-505

Inequalities

If 0 < a < b < c, which of the following statements must be true?

I. 2a > b + c
II. c – a > b - a
III. c/a < b/a

Correct answer marked below

I only

II only

Correct

III only

I and II

II and III

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What this question tests

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

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