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Show that the relation S defined on set ...

Show that the relation S defined on set `N xx N` by `(a, b) S(c,d) rArr a+d=b+c` is an equivalence relation.

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. The ralation R on Z is defined by for m, nin Z, mRnimpliesm/n is a pow...

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  2. Show that the relation R on the set A={1, 2, 3, 4, 5} given by R={(a,b...

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  3. Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...

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  4. Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R...

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  5. If the function'f : R rarrR is given by f(x) = x^(2) +2 and g:R rarr R...

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  6. Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...

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  7. Show that the fuction f in A=R-{2/3} definde as f(x)=(4x+3)/(6x-4) is ...

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  8. Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...

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  9. Let f : W rarr W be defined as f (x) = x -1 if x is odd and f(x) = x +...

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  10. If f:R to R is defined as f(x)=10x +7. Find the function g:R to R, suc...

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  11. If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...

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  12. If the function f:RrarrR is given by f (x)=(x)^2+3x+1 and g:RrarrR is ...

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  13. If S is the set of all rational numbers except 1 and * be defined on S...

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  14. If S is the set of all rational numbers except 1 and * be defined on S...

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  15. Construct the multiplication table times7 on the set {1, 2, 3, 4, 5, 6...

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  16. Consider the binary operation **:R xxR to R and o:R xx R to R defined ...

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

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  18. If ** is a binary operation on set Q of rational numbers such tht a**b...

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  19. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  20. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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