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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|

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Determine whether or not each of the defination of '*' given below giv...

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  2. Determine whether or not each of the defination 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 each operation * defiend below, determine whether* is binary, comm...

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  5. For each operation * defiend below, determine whether* is binary, comm...

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

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  9. Consider a binary operation * on the set {1,2,3,4,5} give by the follo...

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

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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. Let * be the binary operation on the set {1,2,3,4,5}, defined by a *' ...

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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 b....

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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 binary operation on N given by a ** b = LCM of a and b. Fin...

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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 an...

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

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  20. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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