Bunuel wrote:

If |4x−4|=|2x+30|, which of the following could be a value of x?

A. –17

B. −21/2

C. −13/3

D. 2

E. 15

Just plug in the options.

Options (A), (D) and (E) are quite easy to see. They don't give equal values on LHS and RHS.

With (B), (C), plug in values close to these instead of these fractions.

(B) -21/2

Try x = -10.

You get 50 = 10

The difference between LHS and RHS is quite large so x will not be -21/2. As we go toward the point where LHS = RHS, the difference between them will keep decreasing. Hence a point very close to the actual value of x will have little difference between LHS and RHS.

(C) -13/3

Try x = -4

You get 20 = 22

These are quite close so this will be the answer. You can plug it in to confirm.

Answer (C)

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Karishma

Veritas Prep GMAT Instructor

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