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Out of 500 car owners investigated, 400 ...

Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

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To determine whether the data provided about car ownership is correct, we can use the principle of inclusion-exclusion for sets. ### Step-by-step Solution: 1. **Identify the Sets**: - Let \( A \) be the set of car owners who own car A. - Let \( B \) be the set of car owners who own car B. - Given: ...
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NCERT-SETS-SOLVED EXAMPLES
  1. For any sets A and B. show that P(A nnB) = P(A)nn P(B)dot

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  2. Out of 500 car owners investigated, 400 owned car A and 200 owned car...

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  3. Write the solution set of the equation x^2+ x -2 = 0 in roster form.

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  4. Write the set {x : x i s a positive integer and x^2< 40}in the roster ...

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  5. Write the set A = {1, 4, 9, 16 , 25 , . . . }in set builder form.

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  6. Write the set {1/2,2/3,3/4,4/5,5/6,6/7}in the setbuilder form.

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  7. Match each of the set on the left described in the roster form with t...

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  8. If A xx B = {(p, q), (p, r), (m, q), (m, r)}, Find A and B

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  9. Find the pairs of equal sets, if any, give reasons: A = {0}, B = {x :...

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  10. The Fig 2.6 shows a relation between the sets P and Q. Write tins rel...

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  11. Consider the sets phi, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9...

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

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

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

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

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

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  17. Consider the sets X and Y . Find Xnn Y Let X = {Ram, Geeta, Akbar} ...

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

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

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  20. 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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