Question

Solve the compound inequality.2 < 3x+5< 14Graph the solution on the number line.

Answer 1

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

`\begin{gathered} (-3)/(3)<\text{ }(3x)/(3)<(9)/(3) \\ -1\text{ < x < 3} \end{gathered}`

The solution to the given inequality is -1 < x < 3

The graph for the solution of the inequality is given below: