Question

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

√x-6 • √x+3

Answer 1

Since we want to satisfy both at the same time, "x" must be equal or greater than 6.

Explanation:

This product is formed by two square roots, since this mathematical operator can only be defined for positive values and zero, the number inside the root must be always greater or equal to 0, on both roots. Therefore:

`x - 6 \geq 0\\x \geq 6`

and

`x + 3 \geq 0\\x \geq -3`

Since we want to satisfy both at the same time, "x" must be equal or greater than 6.