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Test whether the relation : R = {(m, n)...

Test whether the relation : ` R = {(m, n):2|(m+n)}` on `ZZ` is reflexive, symmetric or transitive.

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Let * is a binary operation on set of integers I defined by a**b=3a+4b...

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  2. Prove that for any f:X rarr Y , f o idx = f =idY of.

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  3. Test whether the relation : R = {(m, n):2|(m+n)} on ZZ is reflexive, ...

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  4. Let R be the relation on the set R of real numbers such that aRb iff a...

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  5. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  6. Show that the relation R defined on the set Z of all integers defined ...

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  7. Find least positive integer x, satisfying 276x+128=4 (mod 7).

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  8. Test whether the relations are reflexive, symmetric or transitive on t...

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  9. Test wheter relations are reflexive, symmetric or transitive on the se...

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  10. If R and S are two equivalence relation on the set then prove that Rca...

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  11. If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...

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  12. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  13. The ralation R on Z is defined by for m, nin Z, mRnimpliesm/n is a pow...

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

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

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

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

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

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

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

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