Question

In the following exercises, solve each system by graphing$\left\{\begin{array}{l}x-2y<3\\ y\le 1\end{array}\right.$

Short answer

The darkest region represent the solution to the system of equations

Step-by-step solution

Given information

Given the system of equations$\left\{\begin{array}{l}x-2y<3\\ y\le 1\end{array}\right.$

Checking the point 

The equation $x-2y=3$has intercept $-\frac{3}{2},3$. Testing the point $(0,0)$, we get

$$\begin{gathered} 0-2\left(0\right)<3 \\ 0-0<3 \\ 0<3 \end{gathered}$$which is true

So origin is included

Checking for another equation

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

$0\le 1$which is true

So origin is included

Graph of the system of equation

The graph is