Given:
[tex]2x\text{ + 8 > 18}[/tex]
Step 1: Collect like terms
[tex]\begin{gathered} 2x\text{ > 18 - 8} \\ 2x\text{ > 10} \end{gathered}[/tex]
Step 2: Divide both sides by 2:
[tex]\begin{gathered} \frac{2x}{2}\text{ > }\frac{10}{2} \\ x\text{ > 5} \end{gathered}[/tex]
Hence the solution to the inequality is:
[tex]x\text{ > 5}[/tex]
The graph of the inequality is shown below:
The solution on a number line is shown below:
