Given that x>3 and y>0, which of the followin… | GMAT Sprint

Free Practice Question

PS · Problem Solving

655-705

Inequalities

Given that $x>3$ and $y>0$ , which of the following statements must hold true?

Answer Choices

Correct answer marked below

-xy>0

-x<3y

Correct

xy<-3

-x>3y

x<-3y

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Explanation

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Official Explanation

Official

When we have

x>3

and

y>0

, we need to evaluate each option for validity. A.

-xy>0

--> For example, if

x = 4

and

y = 1

, then

xy = -4

(which is not > 0) -- No. B.

-x<3y

--> Possible values of

3y

could be

0.1, 0.2, 0.3, 3, 6, 300

; Possible values of

-x

could be

-4, -5, -6, -7

etc -- YES. C.

xy<-3

--> If [m]x =…

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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.

Given that x>3x>3x>3 and y>0y>0y>0, which of the following statements must hold true?