Question

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}x\ge 3\\ y\le 2\end{array}\right.$

Short answer

In the following exercises, solve each system by graphing.

Step-by-step solution

Given information  

Given system of equation

$\left\{\begin{array}{l}x\ge 3\\ y\le 2\end{array}\right.$

Graph the system of equations  

The system of equations $x\ge 3$has intercept $x=3,y=0$The boundary is solid. Origin does not lies within as putting $$\begin{gathered} (0,0) \\ 0\ge 3 \end{gathered}$$

which holds false.

Calculating for second equation 

For $y\le 2$, the intercepts are $x=0,y=2$and testing the point $(0,0)$, we get

$0\le 2$which is true hence, origin is contained in it.

Plotting the graph