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State which of the following sets are fi...

State which of the following sets are finite or infinite :
(i) {`x : x ∈ N and (x – 1) (x –2) = 0`}
(ii) {`x : x ∈ N and x^(2) = 4`}
(iii) {`x : x ∈ N and 2x –1 = 0`}
(iv) {`x : x ∈ N and x` is prime}
(v) {`x : x ∈ N and x` is odd}

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NCERT GUJARATI-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. State which of the following sets are finite or infinite : (i) {x : ...

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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 if A ⊂ B, then C – B ⊂ C – A.

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

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

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

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

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

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

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

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  18. Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty s...

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  19. In a survey of 600 students in a school, 150 students were found to be...

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  20. In a group of students, 100 students know Hindi, 50 know English and 2...

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  21. In a survey of 60 people, it was found that 25 people read newspaper H...

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