To find: The solution set for the given inequality.
Answer to Problem 42E
Solution set:
Explanation of Solution
Given information:
A rational expression is given as -
Concept used:
A rational expression has two types of key numbers − zeros and undefined values. Zeros are the values of
Calculation:
Given rational expression is -
To find zeros, put numerator equal to zero,
To find undefined values, put denominator equal to zero,
Key numbers are
Test interval | Test | Expression value | Conclusion |
Negative | |||
Positive | |||
Negative |
From above table, it can be concluded that inequality is satisfied in the interval
Hence, solution set for the given inequality will be
Graph of the solution set is drawn below.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning