If w > x^2 ≥ y, which of the following must be true?

I. x ≥ 0
II. w > |x|
III. w > y ≥ x

Correct answer marked below

None

Correct

II only

I and II only

I and III only

I, 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.

If w > x^2 ≥ y, which of the following must be true?I. x ≥ 0II. w > |x|III. w > y ≥ x