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For set A and B, is it true that : P(A...

For set A and B, is it true that :
`P(A)cupP(B)=P(A cupB)`
Give reason for your answer.

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Verified by Experts

The correct Answer is:
False, For example `A = {1},B={2}`
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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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