Bunuel wrote:

If |6 – x| = 7, what is the value of x?

(1) x^2 > 0

(2) x > 0

We can start by determining the possible values of x from the equation |6 – x| = 7. To determine the values of x, we can solve the absolute value equation for when 6 - x is positive and negative.

When 6 – x is positive:

6 - x = 7

-x = 1

x = -1

When 6 – x is negative:

-(6 - x) = 7

-6 + x = 7

x = 13

Statement One Alone:x^2 > 0

Since x^2 is greater than zero, x can either be positive or negative. Thus, x could equal -1 or 13. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:x > 0

Since x is greater than zero, x must equal 13. Statement two alone is sufficient to answer the question.

Answer: B

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Jeffery Miller

Head of GMAT Instruction

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