Concept explainers
a.
To find: State whether each statement is True or False.
a.
Answer to Problem 56HP
FALSE
Explanation of Solution
Given information:
The set of whole numbers is closed under subtraction.
Statement is False.
Because subtraction of any two numbers may or may not be a whole number
Example
Subtraction of 2 and 5 is -3
Where -3 is not a whole number.
So, given statement is false.
b.
To find: State whether each statement is True or False.
b.
Answer to Problem 56HP
TRUE
Explanation of Solution
Given information:
The set of whole numbers is closed under multiplication.
Given Statement is True.
The set of whole numbers is closed under multiplication.
c.
To find: State whether each statement is True or False.
c.
Answer to Problem 56HP
FALSE.
Explanation of Solution
Given information:
The set of whole numbers is closed under division
Statement is False.
Because division of any two numbers may or may not be a whole number.
Example
Division of 7 with 2 we get 3.5
We get
Which is not a whole number.
So
Given Statement is False.
Chapter 1 Solutions
Algebra 1
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