
To graph: The inequalities

Explanation of Solution
Given information: Graph the linear inequalities
Method used: Use slope and y - intercept to graph the lines and find the common region for both inequalities which would be the solution region. Then use
Graph:
Consider the inequalities as equation
Graph them by finding slope and y intercept by comparing it with
For the line
Firstly represent the y-intercept (0,4)on xy plane then move down 2 units and right 1 unit to get another point because slope is -2 this could be written as
This line is dotted line because the inequality has no equal sign (no small line under inequality sign) with it.
Like so graph the second line.
For the line
Now, represent (0,-3) on the xy plane and then move down 3 units and right 1 unit to get another point because slope is -3 which could be written as
Then join the points and extend the line on both ends. This line is a solid line because there is a small line under the inequality sign. It means it is less than or equal to.
Interpretation: The dark area of the graph is solution region to the inequalities. Ignore the Purple and black areas. Just the combination of these two colors area is solution region.
That region would satisfy the linear inequalities.
Chapter 3 Solutions
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