Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.
-$| x - 8 | \leq 9$
A) $x \leq - 1$ or $x \geq 17$
B) $- 17 \leq x \leq 1$
C) $- 1 \leq x \leq 17$
D) $- 9 \leq x \leq 9$

Question

Quizplus · Accepted Answer

The inequality $| x - 8 | \leq 9$ can be split into two cases: $x - 8 \leq 9$ and $-(x - 8) \leq 9$, which simplify to $x \leq 17$ and $x \geq -1$, respectively. Combining these gives $-1 \leq x \leq 17$.

Solve the Inequality by Using Algebraic and Graphical Methods ∣x−8∣≤9| x - 8 | \leq 9∣x−8∣≤9

Solve the Inequality by Using Algebraic and Graphical Methods $| x - 8 | \leq 9$