Question

Solve the inequality 2x + 8 > 18

Answer 1

Given:

`2x\text{ + 8 > 18}`

Step 1: Collect like terms

`\begin{gathered} 2x\text{ > 18 - 8} \\ 2x\text{ > 10} \end{gathered}`

Step 2: Divide both sides by 2:

`\begin{gathered} (2x)/(2)\text{ > }(10)/(2) \\ x\text{ > 5} \end{gathered}`

Hence the solution to the inequality is:

`x\text{ > 5}`

The graph of the inequality is shown below:

The solution on a number line is shown below: