Question

If x < 5, then which of the following must be true?

-x < -5
-x > -5
-x < 5
-x > 5

Answer 1

-x<5

Explanation:

Answer 2

If x > 5, than it stands to reason that -x < 5. Say x is 17. 17 > 5, that is true, but when you add a negative in front of 17, it becomes -17 > 5, which is not true, but -17 < 5 is. The third answer choice is correct.