Solve the inequality. -$8 m ^ { 2 } - 11 m 0$ A) $0

Name: Solve the inequality. -$8 m ^ { 2 } - 11 m > 0$ A) $0 \frac { 11 } { 8 }$ C) $- \frac { 11 } { 8 } \frac { 11 } { 8 }$
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Question

Solve the inequality. -$8 m ^ { 2 } - 11 m > 0$ A) $0 < x < \frac { 11 } { 8 }$ B) $x < 0 \text { or } x > \frac { 11 } { 8 }$ C) $- \frac { 11 } { 8 } < x < 0$ D) $x < - \frac { 11 } { 8 } \text { or } x > \frac { 11 } { 8 }$

Quizplus · Accepted Answer

First, factor the inequality: $8m^2 - 11m > 0$ becomes $m(8m - 11) > 0$. The roots are $m = 0$ and $m = \frac{11}{8}$. The inequality is satisfied for $m < 0$ or $m > \frac{11}{8}$, which corresponds to choice B.

Solve the Inequality 8m2−11m>08 m ^ { 2 } - 11 m > 08m2−11m>0

Solve the Inequality $8 m ^ { 2 } - 11 m > 0$