The given inequality is
[tex]-3x+8<15[/tex]First, we subtract 8 from each side
[tex]\begin{gathered} -3x+8-8<15-8 \\ -3x<7 \\ \end{gathered}[/tex]Then, we divide the inequality by -3
[tex]\begin{gathered} -\frac{3x}{-3}>\frac{7}{-3} \\ x>-\frac{7}{3} \end{gathered}[/tex]Hence, the solution set is all real numbers greater than -7/3.
