Home
Class 11
MATHS
If U={11,12,13,14,....,20},A={11,12,13,1...

If `U={11,12,13,14,....,20},A={11,12,13,14} and B={14,16,18,20}`, then find each of the following :
(i) `A, cap B'`
(ii) `A' cup B'`
(iii) `(A cup B)'`
(iv) `(A cap B)'`
(v) `A ' - B'`
(vi) `B - A'`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `{15,17,19}`
(ii) `{11,12,13,15,16,17,18,19,20}`
(iii) `{15,17,19}`
(iv) `{11,12,13,15,16,17,18,19,20}`
(v) `{16,18,20}`
(vi) `{11,12,13}`
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1E|15 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1F|12 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1C|16 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|32 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

If A{1,2,3},B={3,4}and C={4,5,6} , then find the each of the following : (i) A cap(B cupC) (ii) (A-B)cupC (iii) (A cupB)-C (iv) (A cap B)cup C .

If A={2,3,5,8,10},B={3,4,10,12} and C={4,5,8,14} , then find each of the following : (i) (A cupB)cap(A cupC) (ii) (A capB)cup(A capC) .

If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6} , then find each of the following , (i) (A - B) cap C (ii) (A cap B) -C (iii) A- (B-C) (iv) A cup (B - C) .

If A={1,2,3,4},B={3,4,5},C={1,5,6} , then findof the following : (i) A cup B (ii) A cup (B cap C) (ii) A - B (iv) A - (B cup C) .

From the given diagram find: (i) A cup B (ii) A' cap B (iii) A-B (iv) B-A (v) (A cup B)'

From the given diagram, find: (i) A', (ii) B', (iii) A' cup B' , (iv) (A cap B)' Is A' cup B' = (A cap B)' ?

If sets A =[-4,1] and B=[0,3), then find the following sets: (a) A cap B " (b) "A cup B " (c ) "A-B (d) B-A " (e ) "(A cup B)' " (f) " (A cap B)'

From the adjoining Venn diagram , find the following sets : (i) A (ii) B (III) A cup B (iv) A cap B

Prove (A cap B)'=(A' cup B')

Use the given diagram to find: (i) A cup (B cap C) (ii) B-(A -C) (iii) A-B (iv) A cap B' is A cap B' = A -B ?

NAGEEN PRAKASHAN ENGLISH-SETS-Exercise 1D
  1. (i) If aN={2x:x in N}, then find 3N cap2N. (ii) If A = {2,3,4},B={4,...

    Text Solution

    |

  2. If A={x:xle 4,x in N},B={x:xle 8, x in N} and C={x:x in N,2 lt x lt 7}...

    Text Solution

    |

  3. If U={11,12,13,14,....,20},A={11,12,13,14} and B={14,16,18,20}, then f...

    Text Solution

    |

  4. If A={1,2,3}and B={3,5,7}, the find A oplusB.

    Text Solution

    |

  5. Find (A-B)cup(B-A) from each of the following : (i) A={x,y,z)," "...

    Text Solution

    |

  6. If A={2,4,6,8,10},B={3,4,5,6}andC={5,6,7,8}, the show that : (i) B o...

    Text Solution

    |

  7. For any set A show that A oplus A = phi.

    Text Solution

    |

  8. If A = {x : x is a natural number} B = {x : x is an even natural num...

    Text Solution

    |

  9. Draw the Venn diagram for each of the following : (i) (A cap B)' (...

    Text Solution

    |

  10. (i) If A={x:x^(2)-2x+1=0}and B={x:x^(3)-x^(2)-2x=0}, then find A cupB ...

    Text Solution

    |

  11. If A and B are two sets, then prove that : (i) (A-B)cupB=AhArrB sube...

    Text Solution

    |

  12. For any three sets A,B and C, prove that, A-(BcapC) = (A-B) cup(A-C)...

    Text Solution

    |

  13. If A,B and C are three sets such that A cup B = C and A cap B = phi, t...

    Text Solution

    |

  14. Is it true that for any sets A and B, P (A) uuP (B) = P (Auu B)? Just...

    Text Solution

    |

  15. For any two sets A and B, prove that : P(A)=P(B)rArrA=B

    Text Solution

    |

  16. For any two sets A and B, prove that : (i) (A-B)cupB=AcupB (ii) (A...

    Text Solution

    |

  17. For any two sets A and B, prove that : (i) A - (A-B)=A capB (ii) ...

    Text Solution

    |

  18. If A, B and C are three sets such that A cup B = A cup C and A cap B =...

    Text Solution

    |

  19. Fill in the blanks : (i) A cupA'=......... (ii) A capA'=.............

    Text Solution

    |

  20. If U={1,2,3....9},A={1,3,5,7,9} and B={2,3,5,7}, then show that (i) ...

    Text Solution

    |