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Let A, B and C be three sets. If A in B ...

Let A, B and C be three sets. If `A in B` and `B sub C`, is it true that `A sub C` ? If not, give an example.

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MODERN PUBLICATION-SETS-EXERCISE
  1. Decide, among the following sets, which sets are subsets of one and an...

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  2. Prove that A sub phi implies A =phi.

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  3. Let A, B and C be three sets. If A in B and B sub C, is it true that A...

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  4. Prove that A sub B,B sub C implies A sub C.

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  5. Prove that A sube B,B sube C and C sube Aimplies A=C.

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  6. If A= {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8,...

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  7. Which of the following pairs of sets are disjoint:- {1, 2. 3, 4} and {...

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  8. Which of the following pairs of sets are disjoint:- { a, e, i, o, u } ...

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  9. Which of the following pairs of sets are disjoint:- {x : x is an even ...

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  10. State the following statement is true or false. Justify your answer. {...

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  11. State the following statement is true or false. Justify your answer. ...

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  12. State the following statement is true or false. Justify your answer. {...

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  13. State whether the following statement is true of false . Justify your ...

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  14. Find the (a) union (b) intersection of the following pair of sets : ...

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  15. Find the (a) union (b) intersection of the following pair of sets : ...

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  16. Find the (a) union (b) intersection of the following pair of sets : ...

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  17. Find the (a) union (b) intersection of the following pair of sets : ...

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  18. Find the (a) union (b) intersection of the following pair of sets : ...

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  19. Find the union of each of the following pairs of set : A = {x : x is a...

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  20. Find the (a) union (b) intersection of the following pair of sets : ...

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