Q2. If Set A={1,2,3,4}, Set B={2,3,4,5} and Set C={3,4,5,6} then find:
1. (A-B) UC
II. A- (B0C)
III. (A-B) U (B-C)
Answers
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1
Answer:
I){3,4,5,6}
II){1}
III){5,2}
Step-by-step explanation:
given:
A={1,2,3,4}
B={2,3,4,5}
C={3,4,5,6}
1)(A-B)UC
(A-B) ={1,2,3,4}-{2,3,4,5}
={5}
(A-B)UC={5}U{3,4,5,6}
={3,4,5,6}
_________________________________________
II)A-(BUC)
(BUC)={2,3,4,5}U{3,4,5,6}
={2,3,4,5,6}
A-(BUC)={1,2,3,4}-{2,3,4,5,6}
={1}
_________________________________________
III) (A-B)U(B-C)
(A-B)={5}
(B-C)={2,3,4,5}-{3,4,5,6}
={2}
(A-B)U(B-C)={5}U{2}
={5,2}
_________________________________________
hope you understand
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