Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.
-$$| 6 x - 9 | \geq 8$$
A) $x \leq - \frac { 17 } { 6 }$ or $x \geq 8$
B) $x \geq \frac { 17 } { 6 }$
C) $\frac { 1 } { 6 } \leq x \leq \frac { 17 } { 6 }$
D) $x \leq \frac { 1 } { 6 }$ or $x \geq \frac { 17 } { 6 }$

Question

Quizplus · Accepted Answer

The inequality $| 6x - 9 | \geq 8$ splits into two cases: $6x - 9 \geq 8$ and $6x - 9 \leq -8$. Solving the first gives $x \geq \frac{17}{6}$ and the second gives $x \leq \frac{1}{6}$.

Solve the Inequality by Using Algebraic and Graphical Methods ∣6x−9∣≥8| 6 x - 9 | \geq 8∣6x−9∣≥8

Solve the Inequality by Using Algebraic and Graphical Methods $| 6 x - 9 | \geq 8$