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Determine whether or not each 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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Determine whether or not each 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|

Determine whether or not each 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 = ab

Determine whether or not each 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 = ab^2

Determine whether or not each of the defination 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

Determine whether or not each of the defination 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 = ab

Determine whether or not each of the definition of * given below gives a binary operation. In the event that * is not a binary operation, given justification for this. On Z^+ , define * by a * b = a

Determine whether or not each of the defination 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

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On R, define '*' by a * b = ab^2

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On Z^+ , deifne '*' by a * b = |a-b|.

Number of binary operations on the set {a, b} is :

PSEB-RELATIONS AND FUNCTIONS-Exercise
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  8. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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