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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS2 Marks
Question
Determine whether or not the definition of * given below gives a binary operation. In the event that * is not a binary operation give justification of this.
On Z+, defined * by a * b = a - b.
Here, Z+ denotes the set of all non-negative integers.
✓

Answer

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
$=-1\notin\text{Z}^{+}$

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