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प्रश्न
Determine whether or not 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
औचित्य
बेरीज
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उत्तर
On Z+, * is defined by a * b = a – b.
It is not a binary operation as the image of (1, 2) under * is 1 * 2
= 1 – 2
= –1 ∉ Z+
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