Solve.
-$\frac { 4 x - 1 } { 15 }

Question

Solve.
-$\frac { 4 x - 1 } { 15 } < - \frac { 1 } { 3 }$ or $\frac { 4 x - 1 } { 15 } \geq \frac { 1 } { 3 }$

Quizplus · Accepted Answer

To solve the inequality, we break it into two parts and solve each separately:1. $\frac { 4 x - 1 } { 15 } < - \frac { 1 } { 3 }$Multiplying both sides by 15 to eliminate the denominator gives:$$4x - 1 < -5$$$$4x < -4$$$$x < -1$$This gives us the solution set $(-\infty, -1)$ for the first part.2. $\frac { 4 x - 1 } { 15 } \geq \frac { 1 } { 3 }$Again, multiplying both sides by 15:$$4x - 1 \geq 5$$$$4x \geq 6$$$$x \geq \frac{3}{2}$$This gives us the solution set $\left[\frac{3}{2}, \infty\right)$ for the second part.Combining both parts, the solution is $(-\infty, -1) \cup \left[\frac{3}{2}, \infty\right)$, which matches choice A.

Solve - 4x−115<−13\frac { 4 x - 1 } { 15 } < - \frac { 1 } { 3 }154x−1​<−31​

Solve
- $\frac { 4 x - 1 } { 15 } < - \frac { 1 } { 3 }$