If x 3 (2) x -2y - 4 = 0

Question

If x < 2, can y be equal to 2?

(1) x – y > 3
(2) x -2y - 4 = 0

TestPrepUnlimited · Answer

Statement 1:

We have  x > 3 + y   or  3 + y < x . Combined with  x < 2  we can conclude  3 + y < x < 2 , and extract  3 + y < 2 .

So we know  y < -1 , therefore it cannot be equal to 2. Sufficient.

Statement 2:

x = 2y + 4 , plug into  x < 2  to get  2y + 4 < 2  and  y < -1 . Then y cannot be equal to 2. Sufficient.

Ans: D

If x < 2, can y be equal to 2? (1) x – y > 3 (2) x -2y - 4 = 0