
Concept explainers
(a)
To fill: The blank in the statement “The solution of the inequality
(a)

Answer to Problem 3E
The complete statement is “The solution of the inequality
Explanation of Solution
Property used:
Properties of absolute value inequalities:
Inequality | Equivalent form |
Calculation:
The given inequality is
This is of the form
Then by the properties mentioned above, the given inequality is equivalent to
Note that, here both the end points are included since the inequality sign is
Then, the solution will be a closed interval. That is,
Thus, the complete statement is “The solution of the inequality
(b)
To fill: The blank in the statement “The solution of the inequality
(b)

Answer to Problem 3E
The complete statement is “The solution of the inequality
Explanation of Solution
The given inequality is
This is of the form
Then by the properties mentioned in part (a), the given inequality is equivalent to
That is, the solution of the given inequality is the union of the set of all points that are less than or equal to
Note that, here both the end points are included since the inequality sign is
The set of all points that are less than or equal to
Thus, the complete statement is “The solution of the inequality
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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