Solve the inequality. Write the answer in interval notation.
-$- 7

Question

Solve the inequality. Write the answer in interval notation.
-$- 7 < 2 ( x - 1 ) \leq 5$
A) $\left( - \frac { 5 } { 2 } , \frac { 7 } { 2 } \right]$
B) [-2, 3]
C) $\left( - \infty , - \frac { 5 } { 2 } \right) \cup \left[ \frac { 3 } { 2 } , \infty \right]$
D) $\left( - \frac { 9 } { 2 } , \frac { 3 } { 2 } \right]$

Quizplus · Accepted Answer

First, solve the inequality: $-7 < 2(x - 1) \leq 5$. Divide the entire inequality by 2 to get $-\frac{7}{2} < x - 1 \leq \frac{5}{2}$. Then, add 1 to each part to find the solution for $x$, which results in $\left(-\frac{5}{2}, \frac{7}{2}\right]$.

Solve the Inequality −7<2(x−1)≤5- 7 < 2 ( x - 1 ) \leq 5−7<2(x−1)≤5

Solve the Inequality $- 7 < 2 ( x - 1 ) \leq 5$