To solve: The inequality
Answer to Problem 41RE
The interval is
Explanation of Solution
Given information:
The inequality
Formula used:
The zeros of the function
Calculation:
Consider ,
Step 1.
Re-arranging the inequality
Step 2.
The zeros of
Using , hit and trial method
Put
Using long division method we have,
The quotient is
Now,
Step 3.
Using, the zeros to separate the real number line into one interval:
Step 4.
Evaluate the
Interval | ||||
Number chosen | 1 | 3 | ||
Value of
| ||||
Conclusion | Negative | Positive | Negative | Positive |
Now, using the above values we can draw a number line as follows:
Figure 1.
Step 5.
Using the information gathered from Step 1 − Step 4 we concluded that
Chapter 4 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Precalculus
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus
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