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Let U be the set of all people and M = {...

Let U be the set of all people and M = {Males},
S = {College students},
T = {Teenagers}, W = {People having height more than five feet}.
Express each of the following in the notation of set theory.
(i) College student having heights more than five feet
(ii) People who are not teenagers and have their height less five feet
(iii) All people who are neither males nor teenagers nor college students.

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ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (1)
  1. (i) A-(B-C)=(A-B)uu(AnnC) (ii) A-B=(AuuB)-B=A-(AnnB) Verify these ...

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  2. Let U be the set of all people and M = {Males}, S = {College student...

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  3. Let U be the set of all people and M = {Males}, S = {College student...

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  4. Let U be the set of all people and M = {Males}, S = {College student...

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  5. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

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  6. Let A={1,2,3},B={2,4,6,8},C={2,3,5,6}. Then Ann(BuuC),… .

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  7. Let A=(x:x inR,-1lexle1}and B={x:x inR,|x|le1} Are the sets A and ...

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  8. If A=(2,3,4,8,10},B=(3,4,5,10,12}andC=(4,5,6,12,14), find (AuuB)nn(Auu...

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  9. Given the sets A={1,2,3}, B={3,4}, C={4,5,6}, then find Auu(BnnC).

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  10. If aN = {ax : x in N} , then the set 3 N cap 7 N is

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  11. if a N={a x:x iin N} and b N cap c N , where b,c in Nare relative...

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  12. Set A = {x : x is a digit in the number 3591} B={x:x inN,xlt10}. Fin...

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  13. Set U={1,2,3,4,5,6,7,8,9}, A={x:x inN, 30lex^(2)le70} B={x:x is a ...

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  14. Comment on the following statements A-B=AnnB'=B'-A'

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  15. Comment on the following statements Ann(B-C)=(AnnB)-(AnnC)

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  16. Comment on the following statements ADeltaB=(AuuB)-(AnnB)

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  17. For two sets A and B, Ann(AuuB)=

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  18. Which of the following is the empty set ?

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  19. The number of bijective functions from set A to itself when A contains...

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  20. If X and Y are two sets, then Xnn(YuuX)' equals

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