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

Mathematics
JAMB 2008

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
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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

There is an explanation video available below.

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Explanation Video

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