Q. 304 - Intermediate Algebra

Question

In the following exercises, solve each system by graphing.  

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

Step-by-Step Solution

Answer

In the following exercises, solve each system by graphing.   

Step 1: Given information

Given system of equation 

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

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

Step 2: 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.

Step 3: 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.

Step 4: Plotting the graph