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Determine Whether Or Not of the Definition of ∗ Given Below Gives a Binary Operation. in the Event that ∗ is Not a Binary Operation, Give Justification for This. on Z+, Define ∗ by a ∗ B = a – B - Mathematics

Determine whether or not of the definition of ∗ given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this.

On Z+, define ∗ by a ∗ b = a – b

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Solution

On Z+, * is defined by * b = a − b.

It is not a binary operation as the image of (1, 2) under * is 1 * 2 = 1 − 2 
= −1 ∉ Z+.

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 12 Maths
Chapter 1 Relations and Functions
Q 1.1 | Page 24
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