# If X is between -3 and -1, and Y is between -1 and 1

Numbers
If X is between -3 and -1, and Y is between -1 and 1, then X^{2} - Y^{2} is in between which of the following?

- -9 and 1
- -9 and -1
- 0 and 8
- 0 and 9

### Answer

-3 < X < -1, so 9 < X^{2} < 1

-1 < Y < 1, so 1 < Y^{2} < 1

Subtracting,

8 < X^{2} - Y^{2} < 0

**The correct option is C.**