Q. 306 - Intermediate Algebra

Question

In the following exercises, solve each system by graphing.  

$\left\{\begin{array}{l}x\ge 3\\ y\le 2\end{array}\right.$

Step-by-Step Solution

Answer

In the following exercises, solve each system by graphing.     

Step 1: Given information

Given system of equation 

$\left\{\begin{array}{l}x\ge 3\\ y\le 2\end{array}\right.$

Step 2: Graph the system of equations

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

which holds false.

Step 3: Calculating for second equation

For $y\le 2$, the intercepts are $x=0,y=2$ and testing the point $(0,0)$, we get

$0\le 2$ which is true hence, origin is contained in it.

Step 4: Plotting the graph