Home
Class 11
MATHS
If A = {1,2,3,4}, B = {3,4,5,6}, C={5,6,...

If `A = {1,2,3,4}, B = {3,4,5,6}, C={5,6,7,8} and D= {7,8,9,10}`, find :
(i) `A cup B`
(ii) `A cup C`
(c) `B cup C`
(iv) `B cup D`
(v) `A cup B cup C`
(vi) `A cup B cup D`
(vii) `B cup C cup D`.

Text Solution

Verified by Experts

(i) `A cupB={1,2,3,4,5,6}`
(ii) `A cupC={1,2,3,4,5,6,7,8}`
(iii) `B cupC = {3,4,5,6,7,8}`
(iv) `B cup D = {3,4,5,6,7,8,9,10}`
(v) `A = {1,2,3,4},B={3,4,5,6} and C ={5,6,7,8}`
`AcupBcupC={1,2,3,4,5,6,7,8}`
Therefore, `A cupBcupC={1,2,3,4,5,6,7,8}`
(vi) `A ={1,2,3,4}, B={3,4,5,6} and D={7,8,9,10}`
Therefore, `A cup B cup D = {1,2,3,4,5,6,7,8,9,10}`
(vii) `B={3,4,5,6},C={5,6,7,8} and D={7,8,9,10}`
Therefore, `B cup C cup D = {3,4,5,6,7,8,9,10}`.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.5|7 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.6|8 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.3|9 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

If A= {1,2, 3,4 , 5}, B= { 4,5,6,7,8}, C= {7,8,9,10,11} and D={10, 11, 12, 13, 14} , find : (i) A cup B ,(ii) B cup C, (iii) A cup C ,(iv) B cup D , (v) (Acup B) cup C ,(vi) (A cup B) cap C, (vii) (A cap B) cup D , (viii) (A cap B) cup (B cap C) ,(ix) (A cup C) cap (Ccup D)

If A= {2,3,5,7,11} and B=phi , find : (i) A cup B (ii) A cap B

If A={3,5,7,9,11},B={7,9,11,13},C={11,13,15} and D={15,17}, find : (i) A cap B (ii) B cap C (iii) A cap C cap D (iv) A cap C (v) B cap D (vi) A cap (B cup C) (vii) A cap D (viii) A cap (B cup D) (ix) (A cap B) cap (B cap C) (x) (A cup D) cap (B cup 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) .

If A={3,4,5, 6} and B={4,6,8,10} , find A cup B .

If A = {1,2,3,4,5,}, B = {5,6,7}, what is A cup B ?

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

If A = {1, 2, 3, 4} , then B = {2, 4, 5, 6} and C = {1, 2, 5, 7, 8} , then (A cup C) cap B is equal to :

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)' .