Question

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

$\mathit{g}\mathbf{+}\mathbf{6}\mathbf{<}\mathbf{2}$

Short answer

The required solution set is represented by $\left\{g|g<-4\right\}$and the required graph is,

Step-by-step solution

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

Isolate n on any side of the provided inequality.

$\begin{array}{c}g+6-6<2-6\\ g<-4\end{array}$

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.

$\left\{g|g<-4\right\}$

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

The graphical representation of the obtained solution set will consist of the number lower than $-4$and there will be an open circle on $-4$because of symbol $<$.