Q. 305 - Intermediate Algebra

Question

In the following exercises, solve each system by graphing. 

$\left\{\begin{array}{l}-3x+5y>10\\ x>-1\end{array}\right.$

Step-by-Step Solution

Answer

In the following exercises, solve each system by graphing.    

Step 1: Given information

Given system of equation  

$\left\{\begin{array}{l}-3x+5y>10\\ x>-1\end{array}\right.$

Step 2: Graph the system of equations

The system of equations $3x-5y=10$ has intercept $x=3.3,y=-2$ The boundary is solid. Origin does not lies within as putting $$\begin{gathered} (0,0) \\ 0>10 \end{gathered}$$

which holds false.

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