**Question**

(|x| -3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy this equation?

- 4
- 10
- 6
- 8

**Answer: Choice (B)**

**Explanatory Answer**

Product of two integers is 12. Further |y| + 4

__>__4 . So, we know that one of the numbers has to be greater than 4.So, we can have

1 x 12 => x =

__+__4, y =__+__82 x 6 => x =

__+__5, y =__+__23 x 4 => x =

__+__6, y = 04 + 4 + 2 = 10 possible solutions