Question

Solve $\mathit{p}\mathbf{+}\mathbf{8}\mathbf{\le }\mathbf{18}$

F role="math" localid="1647844731947" $\mathit{\left\{}\mathit{p}\mathit{|}\mathit{p}\mathit{\ge }\mathit{10}\mathit{\right\}}$

G$\left\{p|p\le 10\right\}$

H$\left\{p|p\le 26\right\}$

J$\left\{p|p\ge 126\right\}$

Short answer

The required option isrepresented byG.

Step-by-step solution

Step 1. Determine the solution associated with the provided inequality.

Isolate p on the left side of the provided inequality.

$\begin{array}{c}p+8\le 18\\ p+8-8\le 18-8\\ p\le 10\end{array}$

Step 2. Represent the obtained solution into the set builder notation.

Make the conversion of obtained inequality to the notation named as set builder notation.

$\left\{p|p\le 10\right\}$

Step 3. Write the conclusion.

The obtained set builder notation is completely matching with option G. So, it is the required option.