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Let A, B and C be three sets. If A ∈ B a...

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

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The correct Answer is:
No, A= {1}, B= {{1}, 2}, C= {{1}, 2, 3}
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KUMAR PRAKASHAN-SETS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9}. Insert the s...

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  2. Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? N...

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

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  4. Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

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  5. Let A = { a, e, i, o, u } and B = { a, i, u }. Show that A ∪ B = A

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  6. Let X = {Ram, Geeta, Akbar} be the set of students of Class XI, who ar...

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  7. Consider the sets A and B of Example 12. Find A ∩ B.

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  8. Consider the sets X and Y of Example 14. Find X ∩ Y.

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  9. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 }. Find A...

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

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  11. Let V = { a, e, i, o, u } and B = { a, i, k, u}. Find V – B and B – V

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  12. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find...

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  13. Let U be universal set of all the students of Class XI of a coeducatio...

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  14. Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. Find A′, B...

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  15. If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elem...

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  16. In a school there are 20 teachers who teach mathematics or physics. Of...

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  17. In a class of 35 students, 24 like to play cricket and 16 like to play...

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  18. In a survey of 400 students in a school, 100 were listed as taking app...

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  19. There are 200 individuals with a skin disorder, 120 had been exposed t...

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  20. There are 200 individuals with a skin disorder, 120 had been exposed t...

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