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Show that the relation R defined in the ...

Show that the relation R defined in the set A of all polygons as `R = {(P1, P2) : P1 and P2` have same number of sides}`, is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

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Show that the relation R defined in the set A of all polygons as R = {(P_1, P_2): P_1 and P_2 have same numbers of sides} is an equivalence relation.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Show that the relation R in the set A of points in a plane given by R ...

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  2. Show that the relation R, defined by the set A of all triangles as : R...

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  3. Show that the relation R defined in the set A of all polygons as R = {...

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  4. Let L be the set of all lines in XY-pJane and R be the relation in L d...

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  5. Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), ...

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  6. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

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  7. Show that the function f : R* rarr R* defined by f (x) = 1/x is one...

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  8. Check the injectivity and surjectivity of the following function: f ...

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  9. Check the injectivity and surjectivity of the following function: f :...

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  10. Check the injectivity and surjectivity of the following function: f :...

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  11. Check the injectivity and surjectivity of the following function: f ...

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  12. Check the injectivity and surjectivity of the following function: f ...

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  13. Prove that greatest integer function f: RrarrR, given by f (x) = [x], ...

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  14. Prove that Modulus Function f: R rarr R given by : f(x) = | x | is nei...

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  15. Show that the signum function f : R to R given by: f(x) = {{:(1, if ...

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  16. Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6...

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  17. In the following case, state whether the function is one-one, onto or ...

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  18. Let A and B be sets, show that f : A xx B rarr B xx A such that f(a,b...

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  19. Let f: N to N be defined by f(n) = {{:((n+1)/2, " if n is odd "),(n/2,...

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  20. Let A =R-{3} and B=R-{1}. Consider the function f : A to B defined by ...

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