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Give an example of a relation which is symmetric and transitive but not reflexive.

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Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : Symmetric and transitive but not reflexive.

Every relation which is symmetric and transitive is also reflexive.

Give an example of a relation which is reflexive and transitive but not symmetric.

Give an example of relation which is Reflexive and transitive but not symmetric

Give any example of a relation, which is: (i) symmetric: but neither reflexive nor transitive. ii) transitive but neither reflexive nor symmetric. iii) reflexive and symmetric but not transitive. iv) reflexive and transitive but not symmetric. v) symmetric and transitive but not reflexive.

Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : reflexive and transitive but not symmetric.

Give an example of a relation. Which is: Transitive but neither reflexive nor symmetric.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Give examples of two one-one function f1 and f2 from R to R such that ...

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  2. Show that if f1 and f2 are one-one maps from r to R, then the product....

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  3. Lert f : X rarr Y be such that fof = f. Show that f is onto if and onl...

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  4. Consider the identity function IN : N rarr N defined as IN (x) = x, fo...

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  5. Find fof^-1 and f^-1 of for the function: f(x) = 1/x, x ne0, also prov...

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  6. Show that the number of binary operations on {1, 2} having 1 as identi...

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  7. Determine whether the following binary operation on the set N is assoc...

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  8. Determine , whether the following binary operation on the set N is ass...

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  9. Consider the binary operation: R xx R rarr R defined as : a** b = |...

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  10. Define a binary operation * on the set A = {0,1,2,3,4,5}, given by a *...

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  11. Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is ...

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  12. Give an example of a relation which is symmetric and transitive but no...

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  13. A bijective function is both one-one and onto. (True/False)

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  14. What is the domain of the function f(x) = 1/(x-2)

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  15. If f(x) = {:{(x-2, x<2),(3,x=2),(x+2, x>3):} then, find f(8)

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  16. If a*b = 3a + 4b, then the value of 3*4 is ……….

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  17. If a*b = a/2 + b/3, then the value of 2*3 is …………

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  18. Let A {1,2,3}, for x,y,inA, let R let xRy if and only if x>y. Write d...

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  19. Is -a the inverse of a inN for addition '+' on N?

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  20. Show that 1/a is not the inverse of a in N for multiplication operatio...

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