SOLUTION: Determine whether the statement is true or false. If the statement is false, give a reason.
{x|x is in N} = {x|x is in W and x > 0}
1 True. The set of natural numbers is equal to
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Question 1164459: Determine whether the statement is true or false. If the statement is false, give a reason.
{x|x is in N} = {x|x is in W and x > 0}
1 True. The set of natural numbers is equal to the set of whole numbers greater than 0.
2 False. The set of natural numbers is the same as the set of whole numbers.
3 False. The set of whole numbers is equal to the set of natural numbers greater than 0.
4 False. The set of integers is equal to the set of whole numbers greater than 0.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You cannot tell whether the given statement is true or false without providing the definitions of the sets of Natural Numbers and Whole Numbers. Depending on who you talk to (or read) the Naturals are the positive Integers (excludes zero) or the non-negative Integers (includes zero). The Whole Numbers are variously defined as the positive integers, the non-negative integers, or the entire set of integers.
The reason given in 4 is a false statement regardless. The other reasons given are either true or false based on the definitions.
John
My calculator said it, I believe it, that settles it
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