Question

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}x\le -1\\ y\ge 3\end{array}\right.$

Short answer

In the following exercises, solve each system by graphing.

Step-by-step solution

Given information

Given system of equation

$\left\{\begin{array}{l}x\le -1\\ y\ge 3\end{array}\right.$

Graph the system of equations   

The system of equations $x\le -1$has intercept $x=-1,y=0$The boundary is solid. Origin does not lies within as putting $$\begin{gathered} (0,0) \\ 0\le -1 \end{gathered}$$

which holds false.

Calculating for second equation  

For $y\ge 3$, the intercepts are $x=0,y=3$and testing the point $(0,0)$, we get

$0\ge 3$which is false hence, origin is not contained in it.

Plotting the graph