Answer:
Step-by-step explanation:
Insert the given x values for the given equation to find the corresponding y coordinate:
Insert -6:
Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):
Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):
Insert -1:
Insert 1:
:Done
Given:
The system of inequalities is:
To find:
The graph of the given system of inequalities.
Solution:
We have,
The related equations are:
Table of values for the given equations is:
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
