Home
Class 11
MATHS
Let A = { a, e, i, o, u } and B = { a, i...

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

Text Solution

Verified by Experts

The correct Answer is:
`B sub A," then "A cup B = A`
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|37 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|17 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise LATEST EXAMS MCQs|2 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

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

Let A = { a, e, i, o, u} and B = { a, b, c, d} . Is A a subset of B ? No. (Why?). Is B a subset of A? No. (Why?)

Let A={a,e,I,o,u} and B={a,I,u}. Show that A cup B=A

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

If V={a,e,I,o,u} and B={a,I,k,u}. Find V-B and B-V.

Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5} . Find A′, B′ , A′ ∩ B′, A ∪ B and hence show that ( A ∪ B )′ = A′ ∩ B′ .

f and h are function from A rarr B, where A = {a, b, c, d} and B = {s, t, u} defined as follows f(a) = t, f (b) = s, f(c ) = s f(d) = u, h(a) = s, h(b) = t h(c ) = s, h(a) = u, h(d) = u Which one of the following statement is true?

State whether each of the following statement is true or false. Justify your answer. { a, e, i, o, u } and { a, b, c, d } are disjoint sets.

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 }. Find (A ∪ B)′

Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b in Z} . Show that (i) (a,a) in R" for all " a in Q (ii) (a,b) in R implies that (b,a) inR (iii) (a,b) in R and (b,c) in R implies that (a,c) in R

KUMAR PRAKASHAN-SETS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |