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State whether the following statement is...

State whether the following statement is true or false. If the statement is false, rewrite the given statement correctly. If A and B are non-empty sets, then `A xx B` is a non-empty set of ordered pairs (x, y) such that `x in A` and `y in B`.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. For any three sets A, B,C prove that : Axx(B^(c) nn C^(c))^(c)= (AxxB...

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  2. State whether the following statement is true or false. If the stateme...

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  3. State whether the following statement is true or false. If the stateme...

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  4. State whether the following statement is true or false. If the stateme...

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  5. If A= {1, 2, 3} and B = {1, 2}, then find : AxxB.

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  6. If A= {1, 2, 3} and B = {1, 2}, then find : B xx A.

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  7. If A= {1, 2, 3} and B = {1, 2}, then find : Is AxxB= B xx A ?

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  8. If A= {1, 2, 3} and B = {1, 2}, then find : Represent AxxB graphically...

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  9. Let X = {- 2,0, 1}, Y = {2, 3}. Represent X xx Y and Y xx X graphicall...

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  10. Let A = {2, 3, 5, 7}, B = (1, 12, 13, 15}. How many elements are there...

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  11. If A and B are two non-empty sets having n elements in common, then pr...

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  12. Let A = {x, y,z} and B = {1,2}. Find the number of relations from A to...

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  13. Let A = {1, 2}. List all relations on A.

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  14. A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R...

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  15. Write the relation R = {(x, x^3) : x is a prime number less than 10} i...

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  16. Let R be the relation on Z defined by R = {(a,b ): a, b in Z, a-b is a...

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  17. Let A = {3,5} and B = {7, 11}. Let R = {(a, b):a in A, b in B, a -b is...

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  18. Which of the following graphs of relations defines a transitive relati...

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  19. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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  20. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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