Q46. - Algebra 2

Question

Graph the inequality which is given as $y\le -2x-4$

Step-by-Step Solution

Answer

The graph of the inequality is

The inequality is $y\le -2x-4$

Step-1 – Describe the given inequality.

Here we have to graph the inequality which is given as

 $y\le -2x-4$

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

$\le$

At $x=0$ the equation will be

$\begin{array}{l}y\le -2\left(0\right)-4\\ y\le -4\end{array}$

The graph is shaded under the value 

$y\le -4$

At $y=0$ the equation will be

$\begin{array}{l}0\le -2x-4\\ \Rightarrow 4\le -2x\\ \Rightarrow x\le -2\end{array}$

The graph is shaded under the value

$x\le -2$

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: