Use algebraic and/or graphical methods to solve the inequality.
- $( x + 1 ) ( x - 3 ) ( x - 8 ) > 0$

Question

Use algebraic and/or graphical methods to solve the inequality. -$$( x + 1 ) ( x - 3 ) ( x - 8 ) > 0$$ A) $x < - 1$ or $3 < x < 8$ B) $x > 8$ C) $- 1 < x < 3$ or $x > 8$ D) $x < 3$

Quizplus · Accepted Answer

The inequality is satisfied when the product of the factors is positive. The critical points are $x = -1$, $x = 3$, and $x = 8$. Testing intervals between these points, the inequality holds for $-1 < x < 3$ and $x > 8$.

Use Algebraic And/or Graphical Methods to Solve the Inequality (x+1)(x−3)(x−8)>0( x + 1 ) ( x - 3 ) ( x - 8 ) > 0(x+1)(x−3)(x−8)>0

Use Algebraic And/or Graphical Methods to Solve the Inequality $( x + 1 ) ( x - 3 ) ( x - 8 ) > 0$