(a)
Whether the given set is closed under addition or not.
(a)
Answer to Problem 30WE
No
Explanation of Solution
Given:
The given set is:
Calculation:
The given set is not closed under addition because the sum of any two members of the given set does not lie within the given set.
This is not in the given set.
(b)
Whether the given set is closed under multiplication or not.
(b)
Answer to Problem 30WE
Yes
Explanation of Solution
Given:
The given set is:
Calculation:
The given set is closed under a multiplication because the product of any two members of the given set lies within the given set.
Chapter 1 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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