If 0≤x≤5 and y<10 which of these can be a value of xy?
I. -2
II. 0
III. 50

Correct answer marked below

I only

II only

I & II only

Correct

I and III only

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Explanation

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Comments

AliJun 19

Is this an error in the answer choices? (B) and (C) both say "II only"... I got I & II only so I picked D.

AdinaJun 20

Yeah B and C are identical, must be a typo on their end. Don't overthink it.

VishwajeetJun 28

Same here, I was staring at B and C for way too long lol

AsiaJun 1

wait is y negative here? like y could be -5 so xy could be -2 right?

PranavJun 15

y just has to be less than 10, it can totally be negative. And x can be positive so you can get a negative product.

AndreaJun 28

Why isn't 50 possible? x could be 5...

KaseyJul 12

but then y would have to be 10 to get 50, and y has to be strictly less than 10. So no.

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 0≤x≤5 and y<10 which of these can be a value of xy?I. -2II. 0III. 50