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

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

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To solve the question, we need to analyze the relationships between the sets A, B, and C based on the given conditions. ### Step-by-Step Solution: 1. **Understanding the Given Information**: - We have three sets: A, B, and C. - It is given that \( A \in B \) (A is an element of B). - It is also given that \( B \subseteq C \) (B is a subset of C). ...
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NCERT ENGLISH-SETS-SOLVED EXAMPLES
  1. Let A = {a , e , i , o, u}and B = {a , i , u}dotShow that AuuB = A

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  2. Let A = {2, 4, 6, 8}and B = {6, 8, 10 , 12}dotFind Auu Bdot

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

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  4. Let A = { a , e , i , o, u}and B = { a , b , c , d)dotIs A a subset of...

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  5. let f(x) = sqrtx and g(x) =x be function defined over the set of non n...

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  6. Consider the sets X and Y of Example 14. Find Xnn Y

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

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  8. Let X = {Rani, Geeta, Akbar} be the set of students of Class XI who a...

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  9. Let V = {a , e , i , o, u}and B = {a , i , k , u}. Find V - B a n d B ...

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  10. Let A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8}. Find A - B a n d B - A.

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  11. Show that the set of letters needed to spell “CATARACT” and the set o...

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  12. List all the subsets of the set {1, 0, 1 }dot

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  13. In a survey of 400 students in a school, 100 were listed as taking ap...

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

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  15. In a school there are 20 teachers who teach mathematics or physics. O...

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

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  17. Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3}and B = {3, 4, 5}Find A^(prime),...

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  18. If X and Y are two sets such that X uuY has 50 elements, X has 28 ele...

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

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  20. Let u be universal set of all the students of Class XI of a coeducati...

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