Concept explainers
To find: the area of region described by the inequalities.
Answer to Problem 42E
30
Explanation of Solution
Given information:
The inequalities are shown below.
Calculation:
Plot the graph for both the inequalities and shade the common region enclosed by them.
The shaded area
Put the vertex coordinates of
Put the vertex coordinates of
Since the slope value of
Use the distance formula mentioned below to evaluate the length of
The area of right angle triangle
Thus, the area enclosed by the inequalities is 30.
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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