Find the solution set for the linear inequality $11 - 5 x

Question

Find the solution set for the linear inequality $11 - 5 x < - 2$ .
A) $\left( \frac { 18 } { 5 } , \infty \right)$
B) $\left( \frac { 13 } { 5 } , \infty \right)$
C) $\left( - \infty , - \frac { 5 } { 13 } \right)$
D) $\left( - \infty , \frac { 13 } { 5 } \right)$
E) No solution

Quizplus · Accepted Answer

Subtract 11 from both sides to get $-5x < -13$. Then divide by -5, remembering to reverse the inequality sign, resulting in $x > \frac{13}{5}$. Thus, the solution set is $\left( \frac{13}{5}, \infty \right)$.

Find the Solution Set for the Linear Inequality 11−5x<−211 - 5 x < - 211−5x<−2

Find the Solution Set for the Linear Inequality $11 - 5 x < - 2$