Solve the inequality.
-$$\frac { x ^ { 2 } - 81 } { x ^ { 2 } + 81 } \geq 0$$
A) $[ - 9,9 ]$
B) $( - \infty , - 81 ] \cup [ 81 , \infty )$
C) $[ 9 , \infty )$
D) $( - \infty , - 9 ] \cup [ 9 , \infty )$

Question

Quizplus · Accepted Answer

The numerator $x^2 - 81$ is zero at $x = \pm 9$ and positive elsewhere, while the denominator $x^2 + 81$ is always positive. Thus, the inequality is satisfied for $x \leq -9$ and $x \geq 9$.

Solve the Inequality x2−81x2+81≥0\frac { x ^ { 2 } - 81 } { x ^ { 2 } + 81 } \geq 0x2+81x2−81​≥0

Solve the Inequality $\frac { x ^ { 2 } - 81 } { x ^ { 2 } + 81 } \geq 0$