P={1,2,3,5,7,9}and q={2,3,5,11} veeify commutative property of union of sets ans intersection of sets
Answers
Answer:
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Step-by-step explanation:
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PRACTICE PROBLEMS ON PROPERTIES OF SET THEORY
Commutative Property :
For any two sets A and B
(i) A U B = B U A
(ii) A n B = B n A
Associative Property :
For any three sets A, B and C
(i) A U (B U C) = (A U B) U C
(ii)A n (B n C) = (A n B) n C
Question 1 :
If P = {1,2,5,7,9}, Q = {2, 3,5,9,11}, R = {3, 4,5,7,9} and S = {2, 3, 4,5, 8}, then find (i) (P U Q) U R (ii) (P n Q) n S (iii) (Q n S) n R
Solution :
P = {1, 2, 5, 7, 9}
Q = {2, 3, 5, 9, 11}
R = {3, 4, 5, 7, 9}
S = {2, 3, 4, 5, 8}
(i) (P U Q) U R
(P U Q) = {1, 2, 3, 5, 7, 9, 11}
(P U Q) U R = {1, 2, 3, 4, 5, 7, 9, 11} -------(1)
(ii) (P n Q) n S
P n Q = {2, 5, 9}
(P n Q) n S = {2, 5} ------(2)
(iii) (Q n S) n R
Q n S = {2, 3, 5}
(Q n S) n R = {3, 5} ------(3)
Answer:
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