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

Question

Quizplus · Accepted Answer

To solve the inequality $x^2 - 9x \geq 0$, factor it to $x(x - 9) \geq 0$. The roots are $x = 0$ and $x = 9$. Testing intervals around these roots shows that the inequality is satisfied for $x \leq 0$ and $x \geq 9$, leading to the solution set $(-\infty, 0]$ or $[9, \infty)$.

Solve the Inequality x2−9x≥0x ^ { 2 } - 9 x \geq 0x2−9x≥0

Solve the Inequality $x ^ { 2 } - 9 x \geq 0$