Solve.
-$$2 \leq \frac { 7 } { 3 } x - 5

Question

Solve.
-$$2 \leq \frac { 7 } { 3 } x - 5 < 23$$
A) $[ 3,4 )$
B) $( 3,12 ]$
C) $[ 3,12 )$
D) $( 3,4 ]$

Quizplus · Accepted Answer

First, solve the inequalities separately. For $2 \leq \frac{7}{3}x - 5$, add 5 to both sides to get $7 \leq \frac{7}{3}x$, then multiply both sides by $\frac{3}{7}$ to isolate $x$, resulting in $x \geq 3$. For $\frac{7}{3}x - 5 < 23$, add 5 to both sides to get $\frac{7}{3}x < 28$, then multiply both sides by $\frac{3}{7}$ to isolate $x$, resulting in $x < 12$. Combining these gives the solution $[3, 12)$.

Solve - 2≤73x−5<232 \leq \frac { 7 } { 3 } x - 5 < 232≤37​x−5<23

Solve
- $2 \leq \frac { 7 } { 3 } x - 5 < 23$