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Which of the following pairs of sets are...

Which of the following pairs of sets are equal? Justify your answer.
(i) X, the set of letters in “ALLOY” and B, the set of letters in “LOYAL”.
(ii) `A = {n : n ∈ Z and n^(2) ≤ 4} ,B={x:x ∈ R and x^(2) – 3x + 2 =0}`.

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The correct Answer is:
B
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NCERT BANGLISH-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. Which of the following pairs of sets are equal? Justify your answer. ...

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  2. Decide, among the following sets, which sets are subsets of one and a...

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  3. In each of the following, determine whether the statement is true or f...

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  4. In each of the following, determine whether the statement is true or f...

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  5. In each of the following, determine whether the statement is true or f...

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  6. In each of the following, determine whether the statement is true or f...

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  7. In each of the following, determine whether the statement is true or f...

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  8. In each of the following, determine whether the statement is true or f...

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  9. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  10. Show that the following four conditions are equivalent : A ⊂ B

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  11. Show that the following four conditions are equivalent : A – B = φ

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  12. Show that the following four conditions are equivalent : A ∪ B = B

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  13. Show that the following four conditions are equivalent : A ∩ B = A

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  14. Show that if A ⊂ B, then C – B ⊂ C – A.

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  15. Assume that P ( A ) = P ( B ). Show that A = B

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  16. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

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  17. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

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  18. Using properties of sets, show that A ∪ ( A ∩ B ) = A

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  19. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

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  20. Show that A ∩ B = A ∩ C need not imply B = C.

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  21. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

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