Q. 303 - Intermediate Algebra

Question

In the following exercises, solve each system by graphing.  

$\left\{\begin{array}{l}y\le -\frac{1}{2}x+3\\ y<1\end{array}\right.$

Step-by-Step Solution

Answer

In the following exercises, solve each system by graphing.   

Step 1: Given information

Given system of equation 

$\left\{\begin{array}{l}y\le -\frac{1}{2}x+3\\ y<1\end{array}\right.$

Step 2: Graph the system of equations

The system of equations $y=-\frac{1}{2}x+3$ has intercept $x=6,y=3$.The boundary is solid. Origin lies within.

Step 3: Calculating for second equation

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

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

Step 4: Plotting the graph