To graph: the given inequality
Answer to Problem 100RE
Explanation of Solution
Given:
Calculation:
Consider the inequality
Graph the inequality
To graph the inequality
Clearly, the points on the line itself do not satisfy the inequality because, the inequality contains < symbol, so graph the boundary line with a dashed curve.
To determine whether the inside or outside region of the parabola satisfies the inequality, use the test points (0,0) on the outside and (4,0) on the inside of the parabola.
Substitute the coordinates of each point in the inequality and check whether the result satisfies the inequality.
The computations are tabulated as shown below.
Test point | Conclusion | |
(0,0) | Part of the graph | |
(4,0) | Not a part of the graph |
From the above table, observe that the points outside the parabola are satisfies the inequality.
So, shade the region outside the parabola on the graph.
The graph of the inequality
Conclusion:
Therefore, the graph is drawn.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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