Solve.
-$- 9

Question

Solve.
-$- 9 < \frac { 2 - 10 x } { 8 } \leq 4$
A)  $\left[ -3 , \frac { 37 } { 5 } \right)$
B) $\left[ 3 , \frac { 37 } { 5 } \right)$
C) $\left[ - 3 , \frac { 37 } { 5 } \right]$
D) $\left( 3 , \frac { 37 } { 5 } \right)$

Quizplus · Accepted Answer

To solve the inequality $-9 < \frac{2 - 10x}{8} \leq 4$, first multiply all parts by 8 to eliminate the denominator: $-72 < 2 - 10x \leq 32$. Then, subtract 2 from all parts: $-74 < -10x \leq 30$. Next, divide by -10 (remember to flip the inequality signs because of dividing by a negative): $7.4 > x \geq -3$, which simplifies to $-3 \leq x < 7.4$ or $-3 \leq x < \frac{37}{5}$, matching choice A: $\left[ -3 , \frac{37}{5} \right)$.

Solve - −9<2−10x8≤4- 9 < \frac { 2 - 10 x } { 8 } \leq 4−9<82−10x​≤4

Solve
- $- 9 < \frac { 2 - 10 x } { 8 } \leq 4$