Question

Which inequality represents all values of x for which the product below is
defined?
x-5

Answer 1

C. x ≥ 5

Explanation:

You must meet both conditions:

(x -5) ≥ 0 and (x +2) ≥ 0

For the first condition, ...

x ≥ 5 . . . . add 5 to both sides

For the second condition ...

x ≥ -2 . . . . subtract 2 from both sides.

Since both conditions must be met, we must have ...

x ≥ 5