Q2. - Algebra 1

Question

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

$\mathbf{5}\mathbf{\ge }\mathbf{7}\mathbf{+}\mathit{y}$

Step-by-Step Solution

Answer

The required solution set is represented by $\left\{y|y\le -2\right\}$ and the required graph is,

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

Isolate y on any side of the provided inequality.

$\begin{array}{c} 5-7\ge 7-7+y\\ -2\ge y\end{array}$

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.

$\left\{y|y\le -2\right\}$

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 $-2$ and there will be a closed circle on $-2$ because of symbol $\le$.