(a)
To evaluate: The solution of inequality
(a)
Answer to Problem 11T
The solution of inequality
Explanation of Solution
Given:
The inequality is
Calculation:
Section1:
Subtract same quantity from each side gives an equivalent inequalitythat is,
The solution of given inequality is all x-values that satisfy both the inequalities
Multiply each side of inequality by negative quantity that is
The set of solution consists all x-values from
Thus,the solution of inequality
Section2:
The solution of inequality from section 1 is
Figure (1)
Figure (1) shows the solution of inequality which includes all x-values from
(b)
To evaluate: The solution of inequality
(b)
Answer to Problem 11T
The solution of inequality
Explanation of Solution
Given:
The inequality is
Calculation:
Section1:
The factors of the left-hand side are x,
These values of x divide the real line into the intervals
Now, make a table indicating the sign of each factor on each interval,
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From the above sign table, the inequality is satisfied on the intervals
Thus, the solution of inequality
Section 2:
The given inequality is
The solution of inequality from section 1 is
Figure (2)
Figure (2) shows the solution of inequality which includes all x-values from
(c)
To evaluate: The solution of inequality
(c)
Answer to Problem 11T
The solution of inequality
Explanation of Solution
Given:
The inequality is
Calculation:
Section1:
The inequality
The solution of above inequality is all x-values that satisfy both the inequalities
Thus, the solution of inequality
Section2:
The solution of inequality from section 1 is
Figure (3)
Figure (3) shows the solution of inequality which includes all x-values from
(d)
To evaluate: The solution of inequality
(d)
Answer to Problem 11T
The solution of inequality
Explanation of Solution
Given:
The inequality is
Calculation:
Section1:
First move all terms to the left-hand side of the inequality then factor the inequality to get values of x,
The factor of numerator is
These values of x divide the real line into the intervals
Now, make a table indicating the sign of each factor on each interval,
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From the sign table, the inequality is satisfied on the interval
Thus, the solution of inequality
Section2:
The given inequality is
The solution of inequality from section 1 is
Figure (4)
Figure (4) shows the solution of inequality which includes all x-values from
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning