Question

Solve the inequality and graph the solution on the line provided.2x + 12 > 26<>

Answer 1

Solve the inequality

`\begin{gathered} 2x+12>26 \\ \text{Subtract 12 from both sides and you'll have} \\ 2x+12-12>26-12 \\ 2x>14 \\ \text{Divide both sides by 2} \\ (2x)/(2)>(14)/(2) \\ x>7 \end{gathered}`

Therefore, the solution to the inequality is

`x>7`

And this is plotted on a number line as shown;

The open circle (or unshaded dot) on the graph indicates that all the values of x does not include 7, but all values of x are greater than 7