Question

The solution to -2x/3+7<15 is the set1. x>-122. x<-63. x>334. x<-10

Answer 1

$-\frac{2}{3}x+7<15$

multiply both sides of the inequality by 3

$\begin{gathered} 3\cdot(-\frac{2}{3}x+7)<15\cdot3 \\ -2x+21<45 \end{gathered}$

bring all constants to the right of the inequality

$\begin{gathered} -2x<45-21 \\ -2x<24 \end{gathered}$

divide by -2 both sides of the inequality and invert the sign

$\begin{gathered} x>\frac{24}{-2} \\ x>-12 \end{gathered}$