Home
Class 12
MATHS
Let U be the universal set and A cup B c...

Let U be the universal set and `A cup B cup C = U` , Then
` {(A- B) cup (B-C) cup (C-A)}'` is equal to

A

a. `A cup B cup C`

B

b. `A cap B cap C`

C

c. `A cup (B cap C)`

D

d. `A cap (B cup C)`

Text Solution

Verified by Experts

The correct Answer is:
B

`A-B rarr` Regions 3 and 5 .
`B -C rarr `Regions 2 and 6
`C-A rarr `Regions 4 and 7
`therefore (A-B) cup (B-C)cup (C-A) rarr `Regions 2,3,4,5,6,7
`therefore {[(A-B) cup (B-C)cup (C-A)' rarr ` Region 1 which is
`A cap B cap C`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Archives|1 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.5|12 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If A and B are two sets then ( A-B) cup (B-A) cup (A cap B) is equal to

Shade the following sets : A' cup B'

Let A = {1,2,3}, B = {3,4} , C = {4,5,6} Then A cup (B cap C) is

For any two nonempty sets A and B , (Acup B)' cup (A'cap B) is equal to

Let A and B be two sets such that A cup B = A . Then A cap B is equal to

For any three sets A,B,C prove that following , A cup B = (A-B) cup (B-A) cup (A cap B)

Shade the following sets : (A cup B) cap (A cup C)

If any two sets A and B, (A cup B)' cup(A'cup B) =

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

Shade the following sets : (A cap B) cup (A cap C)

CENGAGE PUBLICATION-SET THEORY AND REAL NUMBER SYSTEM -EXERCISES
  1. The set (A cap B')cup (B cap C) equals a).A' cup B cup C b).A' cup ...

    Text Solution

    |

  2. For sets (A cup B) cup ( A cap B)equals (a) A' (b) B' (c) A (d) Non...

    Text Solution

    |

  3. Let U be the universal set and A cup B cup C = U , Then {(A- B) cup...

    Text Solution

    |

  4. The shaded region in the given figure is

    Text Solution

    |

  5. Which is the simplified representation of (A' cap B' cap C) cup (B cap...

    Text Solution

    |

  6. In a statistical investigation of 1,003 families of Calcutta, it was f...

    Text Solution

    |

  7. A survey shows that 63 % of the pepole watch a news channel whereas , ...

    Text Solution

    |

  8. In a town of 10000 families, it was found that 40% families buy ne...

    Text Solution

    |

  9. Complete solution set of inequlaity ((x+2)(x+3))/((x-2)(x-3))le1

    Text Solution

    |

  10. Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

    Text Solution

    |

  11. If set A ={x|(x^2(x-5)(2x-1))/((5x+1)(x+2)) lt 0 } and Set B={x|(3x...

    Text Solution

    |

  12. Number of intergers satisfying the inequality x^4- 29x^2+100 le 0 i...

    Text Solution

    |

  13. If n gt 0 and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) (2x-...

    Text Solution

    |

  14. The solution of the inequality ((x+7)/(x-5)+(3x+1)/(2) )ge 0 is

    Text Solution

    |

  15. The complete solution set of inequality ((x-5)^(1005)(x+8)^(1008)(x-1)...

    Text Solution

    |

  16. Sum of solution of the equation |x|^3-4|x|^2+3|x|=0 is

    Text Solution

    |

  17. Number of integral roots of |x-1||x^2-2|=2 is

    Text Solution

    |

  18. The solution set of the inequlity (|x-2|-x)/(x)lt2 is

    Text Solution

    |

  19. Number of solutions of the equation |2-|x||=x +4 is a.0 b.1 c.2 d.Inf...

    Text Solution

    |

  20. Number of intergal values of x satisfying the inequality (x^2+6x-7)/(|...

    Text Solution

    |