Mathematics

A binary operation * is defined on the set of positive integers is such x*y…

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 ppositive 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: Option B
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