To graph: The system of inequalities,
Explanation of Solution
Given information:
The system of inequalities,
Graph:
An inequality
Now for the remaining inequalities,
To plot the graph of an inequality, replace inequality sign by equal sign and find the boundary curve.
If inequality is of type
Here in
An equation,
Find some ordered pairs of
For that choose
Choose
Choose
So, the two points on a line
Now an equation,
Find some ordered pairs of
Choose
Choose
So the two points on a line
Nowby connecting points on each line to draw a linethat represents a graph below:
Now, to plot the graph of system of inequality
Choose a test point and substitute in inequality, if test point satisfies the inequality shade the region which includes test point otherwise shade the region which does not include test point.
For
Substitute
For
Substitute
Therefore, The graph of system of inequality
Thus the intersection of the shaded region gives the resulting graph with corner points are labeled is shown below,
Interpretation:
The graph represents a system of inequalities,
Chapter 11 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Glencoe Math Accelerated, Student Edition
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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