Q. 307 - Intermediate Algebra

Question

In the following exercises, solve each system by graphing. 

$\left\{\begin{array}{l}x\le -1\\ y\ge 3\end{array}\right.$

Step-by-Step Solution

Answer

In the following exercises, solve each system by graphing. 

Step 1: Given information

Given system of equation 

$\left\{\begin{array}{l}x\le -1\\ y\ge 3\end{array}\right.$

Step 2: Graph the system of equations

The system of equations $x\le -1$ has intercept $x=-1,y=0$ The boundary is solid. Origin does not lies within as putting $$\begin{gathered} (0,0) \\ 0\le -1 \end{gathered}$$

which holds false.

Step 3: Calculating for second equation

For $y\ge 3$, the intercepts are $x=0,y=3$ and testing the point $(0,0)$, we get

$0\ge 3$ which is false hence, origin is not contained in it.

Step 4: Plotting the graph