Q2. - Algebra 1

Question

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

F $\mathit{\left\{}\mathit{p}\mathit{|}\mathit{p}\mathit{\ge }\mathit{10}\mathit{\right\}}$ 

G $\left\{p|p\le 10\right\}$

H $\left\{p|p\le 26\right\}$

J $\left\{p|p\ge 126\right\}$

Step-by-Step Solution

Answer

The required option is represented by G.

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.