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} -(3x)/(-3)>(7)/(-3) \\ x>-(7)/(3) \end{gathered}`

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