Section: Math Section 1

8) If x + y < 10, and x - y > 12, which of the following
pairs could be the values of x and y?

1. (2, 6)
2. (6, -4)
3. (8, -4)
4. (8, -6)
5. (10, -2)

The easiest way to do this problem is just to backsolve. Since each pair of numbers in the answer choices represents possible values of x and y, just add up each x and y to see if x + y < 10, and subtract each y from each x to see if x - y > 12. If you do this, you’ll find that in all 5 cases x + y < 10, but in only 1 case, x - y > 12.