Answer:
-1 < x < 3
Explanations
The given inequality is:
2 < 3x + 5 < 14
Step 1: Subtract 5 from all the sides of the inequality
2 - 5 < 3x + 5 - 5 < 14 - 5
-3 < 3x < 9
Step 2: Divide through by 3
[tex]\begin{gathered} \frac{-3}{3}<\text{ }\frac{3x}{3}<\frac{9}{3} \\ -1\text{ < x < 3} \end{gathered}[/tex]
The solution to the given inequality is -1 < x < 3
The graph for the solution of the inequality is given below:
