Question

Two-solution set of inequality Find the solution set of the inequality:-3x + 8 <15

Answer 1

The given inequality is

$-3x+8<15$

First, we subtract 8 from each side

$\begin{gathered} -3x+8-8<15-8 \\ -3x<7 \\ \end{gathered}$

Then, we divide the inequality by -3

$\begin{gathered} -\frac{3x}{-3}>\frac{7}{-3} \\ x>-\frac{7}{3} \end{gathered}$

Hence, the solution set is all real numbers greater than -7/3.