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Let S be the set of all real numbers exc...

Let S be the set of all real numbers except 1 and 'o' be an operation on S defined by : aob = a+b - ab for all a,b `in`S. Prove that S is closed under given operation.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Examine which of the following is a binary operation : a*b = (a+b)/2,...

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

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

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

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

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

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

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

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

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

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  11. Let A = R xx R and * be a binary operation on A defined by : (a,b) * ...

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  12. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

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  13. Let A = Q xx Q, where Q is the set of all natural involved and * be t...

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

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  15. Determine whether each of the following relations are reflexive, symme...

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  16. Determine whether each of the following relations are reflexive, symme...

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  17. Determine whether each of the following relations are reflexive, symme...

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  18. Determine whether each of the following relations are reflexive, symet...

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  19. Determine whether the following relations are reflexive, symmetric an...

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  20. Determine whether the following relation is reflexive, symmetric and...

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