Use algebraic and/or graphical methods to solve the inequality.
- $( x + 7 ) ( x + 6 ) ( x - 5 ) < 0$

Name: Use algebraic and/or graphical methods to solve the inequality. -\[( x + 7 ) ( x + 6 ) ( x - 5 ) 5\) C) $x > 5$ D) $x < - 7$ or $- 6 < x < 5$
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Question

Use algebraic and/or graphical methods to solve the inequality. -$$( x + 7 ) ( x + 6 ) ( x - 5 ) < 0$$ A) $x < - 6$ B) $- 7 < x < - 6$ or $x > 5$ C) $x > 5$ D) $x < - 7$ or $- 6 < x < 5$

Quizplus · Accepted Answer

The inequality changes sign at the roots $x = -7$, $x = -6$, and $x = 5$. Testing intervals between these roots, the inequality is satisfied for $x < -7$ and $-6 < x < 5$.

Use Algebraic And/or Graphical Methods to Solve the Inequality (x+7)(x+6)(x−5)<0( x + 7 ) ( x + 6 ) ( x - 5 ) < 0(x+7)(x+6)(x−5)<0

Use Algebraic And/or Graphical Methods to Solve the Inequality $( x + 7 ) ( x + 6 ) ( x - 5 ) < 0$