2008
Mathematics
67ca00ce0c643c71d77dee1f
A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?
A.
commutative and close on the set of positive integers
B.
neither commutative nor closed on the set of positive integers
C.
commutative but not closed on the set of positive integers
D.
not cummutative but closed on the set of positive integers
Correct Answer: neither commutative nor closed on the set of positive integers
Explanation
X * Y = 2X - 3Y + 2 2*3 = 2(2) - 3(3) + 2 =4-9+2 = -3 But -3 does not belong to positive integer
X * Y = 2X - 3Y + 2 2*3 = 2(2) - 3(3) + 2 =4-9+2 = -3 But -3 does not belong to positive integerTHIS WEEK's
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