Question

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}3x-4y<8\\ x<1\end{array}\right.$

Short answer

In the following exercises, solve each system by graphing.

Step-by-step solution

Given information   

Given system of equation

$\left\{\begin{array}{l}3x-4y<8\\ x<1\end{array}\right.$

$\left\{\begin{array}{l}3x-4y<8\\ x<1\end{array}\right.$

Graph the system of equations 

The system of equations $3x-4y=8$has intercept $x=2.6,y=-2$The boundary is solid. Origin lies within as putting$$\begin{gathered} (0,0) \\ 0<8 \end{gathered}$$

which holds true.

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