Question 574769: Determine if the following sets are closed under multiplication:
a. {0}
b. {1, 3, 5, 7, 9,...}
c. {0, 1, 2}
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine if the following sets are closed under multiplication:
a. {0}
0*0 = 0 ; closed under multiplication
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b. {1, 3, 5, 7, 9,...}
The product of any 2 odd numbers is an odd number: true
So closed under multiplication.
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c. {0, 1, 2}
0*0 or 1 or 2 is 0
1*0 = 0 ; 1*1 = 1 ; but 2*2 = 4
Not closed under multiplication.
Cheers,
Stan H.
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