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Determine whether or not each of the def...

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`

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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 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 = 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 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|.

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 R, define '*' by a * b = ab^2

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Determine whether or not each of the definition of '*' given below giv...

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  2. Determine whether or not each of the definition of '*' given below giv...

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  3. Determine whether or not each of the definition of '*' given below giv...

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  4. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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  5. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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  6. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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  7. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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  8. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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  9. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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  10. Consider the binary operation ^^ on the set {1, 2, 3, 4, 5} defined ...

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  11. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

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  12. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

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  13. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

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  14. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

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  15. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

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  16. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

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  17. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

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  18. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

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  19. Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b. ...

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  20. Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b. ...

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