Question

Solve each inequality. Then graph the solution set on a number line.

$\mathbf{11}\mathbf{\le }\mathit{p}\mathbf{+}\mathbf{4}$

Short answer

The required solution set is represented by $\left\{p|p\ge 7\right\}$and the required graph is,

Step-by-step solution

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

Isolate p on any side of the provided inequality.

$\begin{array}{c}11-4\le p+4-4\\ 7\le p\end{array}$

Step 2. Take the help of obtained inequality to write the solution set.

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

$\left\{p|p\ge 7\right\}$

Step 3. Represent the obtained solution set in graphical form.

The graphical representation of the obtained solution set will consist of the number greater than or equal to 7 so there will be a closed circle on 7.