Question

In the following exercises, solve each system by graphing$\left\{\begin{array}{l}x-3y>4\\ y\le -1\end{array}\right.$

Short answer

The darkest region represent the solution to the system of equations

Step-by-step solution

Given information

Given the system of equations$\left\{\begin{array}{l}x-3y>4\\ y\le -1\end{array}\right.$

Checking the point for the equations

The equation $x-3y=4$has intercept $-\frac{4}{3},4$. Testing the point $(0,0)$, we get

$$\begin{gathered} 0-3\left(0\right)>4 \\ 0-0>4 \\ 0>4 \end{gathered}$$which is not true

So the origin is not included

Checking for another equation

The equation is $y\le -1$. Testing the point $(0,0)$, we get

$0\le -1$which is not true

So origin is not included

Graph the system of equations

The graph is