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Represent (i) A cap(BcupC) and (ii) (A c...

Represent (i) `A cap(BcupC)` and (ii) `(A capB)cupC` by venn diagram.

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Venn Diagrams

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Shade the following : (i) A^(c)cap(BuuC) (ii) A^(c)cap(C-B) in given Venn diagram .

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},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 .

Let A ={2,4,6,8,10}, B={4,8,12,16} and C={ 6,12 ,18, 24} . Using Venn diagrams, verify that: (i) (Acup B) cup C=A cup (B cup C) (ii) (A cap B) cap C =A cap (Bcap C)

Draw the venn diagram to represent (i) A cap (B-A)' & (ii) A cup B(B cap A)'

If A = {1,2,3,4,5},B={2,4,6,8} and C={3,6,7,8} , then show that : (i) A cup(BcapC)=(AcupB)cap(A cupC) (ii) A cap(B cupC)=(A capB)cup(A capC) .

If A = {x:x in N, x le 7}, B={x:x "is prime", x lt 8} and C ={x:x in N, x "is odd and" x lt 10} , verify that : (i) A cup (Bcap C) =(A cup B ) (A cup C) (ii) A cap (BcupC) =(A cap B) cup (A cap C)

NAGEEN PRAKASHAN-SETS-Exercise 1D
  1. If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6}, then find each of the fo...

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  2. If A and B are two sets, then find (A cap B) cup B.

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  3. If A and B are two sets such that A sube B, then find (i) A cup B ...

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  4. If A = {1,2,3,4,5},B={2,4,6,8} and C={3,6,7,8}, then show that : (i)...

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  5. (i) If aN={2x:x in N}, then find 3N cap2N. (ii) If A = {2,3,4},B={4,...

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  6. 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}...

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

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

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

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

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

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

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

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

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

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

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  17. For set A and B, is it true that : P(A)cupP(B)=P(A cupB) Give reas...

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

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

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  20. Represent (i) A cap(BcupC) and (ii) (A capB)cupC by venn diagram.

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