Question

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}-3x+5y>10\\ x>-1\end{array}\right.$

Short answer

In the following exercises, solve each system by graphing.

Step-by-step solution

Given information 

Given system of equation

$\left\{\begin{array}{l}-3x+5y>10\\ x>-1\end{array}\right.$

Graph the system of equations  

The system of equations $3x-5y=10$has intercept $x=3.3,y=-2$The boundary is solid. Origin does not lies within as putting $$\begin{gathered} (0,0) \\ 0>10 \end{gathered}$$

which holds false.

Calculating for second equation    

For $x>-1$, the intercepts are $x=-1,y=0$and testing the point $(0,0)$, we get

$0>-1$which is true hence, origin is contained in it.

Plotting the graph