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Find the identity element in Z with resp...

Find the identity element in Z with respect to the operation '*' defiend by : A*b = a+b +1 `AA a, b inZ`

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. The binary operation ** : R xx R rarrR is defined as a ** b = 2a + b....

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  2. Let * be the binary operation on N. Prove that (20*16) = 20*(16*8)

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  3. Find the identity element in Z with respect to the operation '*' defie...

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  4. Show that addition, subtraction and multiplication are binary operatio...

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  5. Show that subtraction and division are not binary operations on N.

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  6. Show that vv : R xx R rarr R given by (a, b) rarr max. [a, b) and ^^: ...

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  7. Show that * : R xx R rarr R given by a * b rarr a + 2b is nto assoc...

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  8. Let '*' be a binary operation defined on Q. Find which of the followin...

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  9. Let '*' be a binary operation defined on Q. Find which of the followin...

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  10. Let '*' be a binary operation defined on Q. Find which of the followin...

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  11. Let '*' be a binary operation on Q defined by : a* b = (3ab)/5. Show t...

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  12. Examine which of the following is a binary operation : a*b = (a+b)/2,...

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  13. Examine which of the following is a binary operation : a*b = (a+b)/2,...

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  14. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  15. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  16. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

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  17. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

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  18. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

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  19. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

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  20. Let 'X' be a non-empty set and P(X) be its power set . Let * be an ope...

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