Solve the inequality. -$4 x ^ { 2 } - 32 x + 60

Name: Solve the inequality. -$4 x ^ { 2 } - 32 x + 60 5$ B) $- 5 - 3$
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Question

Solve the inequality. -$4 x ^ { 2 } - 32 x + 60 < 0$ A) $x < 3 \operatorname { ar } x > 5$ B) $- 5 < x < - 3$ C) $3 < x < 5$ D) $x < - 5 \text { or } x > - 3$

Quizplus · Accepted Answer

First, factor the quadratic inequality: $4x^2 - 32x + 60 < 0$ can be rewritten as $4(x^2 - 8x + 15) < 0$, which factors to $4(x - 3)(x - 5) < 0$. The roots are $x = 3$ and $x = 5$. The inequality is satisfied for values between these roots, hence $3 < x < 5$.

Solve the Inequality 4x2−32x+60<04 x ^ { 2 } - 32 x + 60 < 04x2−32x+60<0

Solve the Inequality $4 x ^ { 2 } - 32 x + 60 < 0$