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Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5,...

Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verify that `A xx C` is a subset of `B xx D`.

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Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verify that A xx (B nn C) = (A xx B) nn (A xx C) .

If A = { 1, 2}, B = {3, 4}, C = {4, 5}, find A xx (B uu C) .

Let A = {1, 2, 3}, B = {2, 3, 4} and C = {4, 5}. Verify that : Axx(B nn C)=(AxxB)nn (A xx C) .

Let A = {1, 2, 4}, B= {3, 5, 7} and C = {5, 7, 9}, find A xx (B nn C) .

Let A= {1, 2, 3}, B= {3, 4} and C = {4, 5, 6}. Find : Axx (B uu C) .

Let A = {1, 2, 3, 4,5,6} and B = {2,4,6, 8}. Find A xx B .

Let A = {1, 2, 3}, B= {2, 3, 4} and C= {4, 5}. Verity that : A xx (Buu C)= (A xxB) uu (A xx C) .

Let A = {1, 2, 3, 4, 5, 6} B = {3, 4,5, 6, 7, 8}. Find (A-B) uu (B -A) .

PSEB-RELATIONS AND FUNCTIONS -EXERCISE
  1. If A xx B = {(a, x).(a , y). (b, x), (b, y)}. Find A and B.

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  2. Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verif...

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  3. Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verif...

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  4. Let A = {1, 2} and B = {3, 4}. Write A xx B. How many subsets will A x...

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  5. Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y...

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  6. The Cartesian product A xx A has 9 elements among which are found (-1,...

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  7. Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, ...

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  8. Define a relation R on the set N of natural numbers by R = {(x, y) : y...

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

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  10. The Fig2.7 shows a relationship between the sets P and Q. Write this r...

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  11. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

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  12. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

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  13. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

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  14. Determine the domain and range of the relation R defined by R = {(x, x...

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

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

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  18. Which of the following relations are functions? Give reasons. If it is...

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  19. Which of the following relations are functions? Give reasons. If it is...

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  20. Which of the following relations are functions? Give reasons. If it is...

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