Bunuel wrote:

x and y are integers. x + y < 11 , and x > 6. What is the smallest possible value of x - y ?

A. 1

B. 2

C. 4

D. -2

E. -4

Focus on the transition points and plug in the values.

x > 6 so x could be 7, 8, 9, 10, 11 etc

Look at x = 7

7 + y < 11

y < 4

y could be 3, 2, 1, 0, -1 etc

When y is 3, we get x - y = 4

This must be the smallest value because as x increases, y reduces so x - y increases.

Take another example. x = 11 so y < 0.

x - y will give a value greater than 11.

Answer (C).

_________________

Karishma

Veritas Prep GMAT Instructor

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