Solve and write interval notation for the solution set.
-$$| 4 x |

Question

Solve and write interval notation for the solution set.
-$$| 4 x | < 3$$
A) $\left( - \infty , \frac { 3 } { 4 } \right)$
B) $\left( - \frac { 3 } { 4 } , \frac { 3 } { 4 } \right)$
C) $\left( - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right)$
D) $\left( - \infty , \frac { 4 } { 3 } \right)$

Quizplus · Accepted Answer

The inequality $| 4x | < 3$ means $4x < 3$ and $4x > -3$. Solving these gives $x < \frac{3}{4}$ and $x > -\frac{3}{4}$, which is the interval $\left( - \frac { 3 } { 4 } , \frac { 3 } { 4 } \right)$.

Solve and Write Interval Notation for the Solution Set ∣4x∣<3| 4 x | < 3∣4x∣<3

Solve and Write Interval Notation for the Solution Set $| 4 x | < 3$