Concept explainers
In Exercises 1-4, sketch the region corresponding to the given inequalities, say whether it is bounded, and give the coordinates of all corner points.
To graph: The region that corresponds to the provided inequality
Explanation of Solution
Given Information:
The provided inequality is
Graph:
Consider the provided inequality:
Now, firstly consider the equation:
Now, substitute values of
For
Therefore, the point is
For
Thus, the point is
Thus, the table for the corresponding
Join these points on a graph to form a line as shown below:
Now, the equation of boundary line is
Now, use
Consider the provided inequality:
At start, trace the sketch of line
Test this sketched curve for
So, the graph of the provided inequality is not satisfied.
Hence, the graph of inequality is not containing the test point and it is unbounded.
Interpretation:
The graph of inequality is not containing the test point and it is unbounded.
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Chapter 5 Solutions
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill