Solve.
-$$- 7

Question

Solve.
-$$- 7 < \frac { 5 x - 8 } { 4 } \leq - 4$$
A) $\left( - 4 , - \frac { 8 } { 5 } \right]$
B) $\left[ - 4 , - \frac { 8 } { 5 } \right]$
C) $\left[ - 4 , \frac { 24 } { 5 } \right]$
D) $\left( - 4 , \frac { 24 } { 5 } \right]$

Quizplus · Accepted Answer

To solve the inequality $-7 < \frac{5x - 8}{4} \leq -4$, first multiply all parts by 4 to eliminate the denominator: $-28 < 5x - 8 \leq -16$. Then, add 8 to all parts: $-20 < 5x \leq -8$. Finally, divide by 5: $-4 < x \leq -\frac{8}{5}$, which matches choice A.

Solve - −7<5x−84≤−4- 7 < \frac { 5 x - 8 } { 4 } \leq - 4−7<45x−8​≤−4

Solve
- $- 7 < \frac { 5 x - 8 } { 4 } \leq - 4$