Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.
- $| 5 x + 9 | < 2$

Question

Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.
-$$| 5 x + 9 | < 2$$
A) $- \frac { 11 } { 5 } < x < - \frac { 7 } { 5 }$
B) $x < 5$
C) $x < - \frac { 11 } { 5 }$ or $x > - \frac { 7 } { 5 }$
D) $x < - \frac { 11 } { 5 }$

Quizplus · Accepted Answer

To solve the inequality $| 5x + 9 | < 2$, we split it into two cases: $5x + 9 < 2$ and $5x + 9 > -2$. Solving each gives $x < -\frac{7}{5}$ and $x > -\frac{11}{5}$, respectively. Combining these gives $-\frac{11}{5} < x < -\frac{7}{5}$.

Solve the Inequality by Using Algebraic and Graphical Methods ∣5x+9∣<2| 5 x + 9 | < 2∣5x+9∣<2

Solve the Inequality by Using Algebraic and Graphical Methods $| 5 x + 9 | < 2$