Q45. - Algebra 2

Question

Graph the inequality which is given as $y\le x+2$

Step-by-Step Solution

Answer

The graph of the inequality is

The inequality is $y\le x+2$

Step-1 – Describe the given inequality.

Here we have to graph the inequality which is given as

 $y\le x+2$

The graph will be solid since, equal to sign is there.

Now by putting the value $x=0$ we get

$\begin{array}{l}y\le 0+2\\ y\le 2\end{array}$

Now, the graph is shaded under the $y=2$

At $y=0$

$\begin{array}{l}0\le x+2\\ x\le -2\end{array}$

The graph is shaded under the $x\le -2$

Step-2 – Plot the graph of the given function

The graph can be plot in inequality and it is shown in form of area under the shaded region as follows: