Determine the set of values of x for which the radical expression would produce a real number.
-$$\sqrt { 15 - x }$$
A) $\{ x \mid x \leq 15 \}$
B) { }
C) $\{ x \mid x 15 \}$
D) $\{ x \mid x \geq 15 \}$

Question

Determine the set of values of x for which the radical expression would produce a real number.
-$$\sqrt { 15 - x }$$
A) $\{ x \mid x \leq 15 \}$
B) { }
C) $\{ x \mid x > 15 \}$
D) $\{ x \mid x \geq 15 \}$

Quizplus · Accepted Answer

For the expression $\sqrt{15 - x}$ to produce a real number, the quantity under the square root, $15 - x$, must be greater than or equal to 0. Solving $15 - x \geq 0$ gives $x \leq 15$.

Determine the Set of Values of X for Which the Radical