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If R and S are two equivalence relation ...

If R and S are two equivalence relation on the set then prove that `RcapS` is also an equivlaence relation on the set.

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Test whether the relations are reflexive, symmetric or transitive on t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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