Home
Class 11
MATHS
Let U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4},B...

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 :
(i) `A'`
(ii) `B'`
(iii) `(A cup C)'`
(iv) `(A cap B)'`
(v) `(A')'`
(vi) `(B-C)'`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the required sets based on the definitions of complements, unions, and intersections. Given: - Universal Set \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) - Set \( A = \{1, 2, 3, 4\} \) - Set \( B = \{2, 4, 6, 8\} \) - Set \( C = \{3, 4, 5, 6\} \) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.6|8 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.4|12 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Let U= {1,2,3,4,5,6,7,8,9}, A={1,2,3,4}, B={2,4,6,8},C={3,4,5,6}. Find : (i) A' (ii) B' (iii) (AuuC) (iv) (AuuB) (v) (A-B) (vi) (B-C) .

If U={1,2,3,4,5,6,7,8,9} A={1,2,3,4,} B={2,4,6,8} and C={1,4,5,6} , find : (i) A' (ii) B' (iii) C' (iv)(B')' (v) (Acup B)' (vi) (A cap C) ' (vii) (B-C) '.

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')'

Let U={1,2,3,4,5,6,7,8,9}, A= {1,2,3,4},B={2,4,6,8} . Find: (i) A' (ii) B' (iii) (A cup B)' (iv) (A cap B)' (v) (A')' (vi) (B-A)' .

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'

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 uu B)'

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 (B-C)'

If 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 : (i) A^(c) (ii) B^(c) (iii) A(uuC)^(c) (iv) (AuuB)^(c) (v) (A^(c))^(c) (vi) (B-C)^(c) .

Let U={1,2,3,4,5,6,7,8,9,10}, A={1,3,5},B={2,4,6},C={4,5,6}. Find (i) A^(c)capB^(c) (ii) (AuuB)^(c)capC^(c) .

Let U = { 1,2,3,4,5,6,7,8,9,10} ,A = { 1,3,5,} B = {2,4,6} , C = {4,5,6} Find (i) A^(c) nn B^(c) (ii) (A uu B)^(c) nn C^(c)

Home
Profile