Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter P.7, Problem 35E
Solution
To explain the role of equation solving in the process of solving an inequality.
The corresponding equation reveals the boundary of the solution set of the inequality.
Calculation:
In order to solve an inequality in two variables, the first thing to be done is to locate the boundary line of the inequality. If the inequality is strict, the boundary line is dashed and if the inequality is not strict, then use a solid line.
After plotting the boundary line by solving the corresponding equation, locate the shaded region by taking a test point.
For example, to solve the inequality,
The corresponding equation for the given inequality is
The graph of the equation
The graph of the equation
A test point in either region not on the graph of the equation
Substitute the value
The statement is false.
The test point does not satisfy the inequality; so, all of the points in that region do not satisfy the inequality.
The region not containing
Therefore, shade the region not containing the point
Chapter P Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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