If A = {x / x ∈W, x < 10}, B = {x/x is a factor of 10}, C = { } 2 2 2 2 1 2, 3, ,....., 10 , then Find i) A ∪B ii) A ∩ B iii) A – C iv) B – C
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Given
A = {x / x ∈W, x < 10},
B = {x/x is a factor of 10},
C={1,2,3...10}
Roster form of set A
A={0,1,2,3,4,5,6,7,8,9}
Roster form of set B
B={1,2,5,10}
A UB={0,1,2,3,4,5,6,7,8,9}U{1,2,5,10}
A UB={0,1,2,3,4,5,6,7,8,9,10}
A ∩ B={0,1,2,3,4,5,6,7,8,9}∩{1,2,5,10}
A ∩ B={1,2,5}
A – C={0,1,2,3,4,5,6,7,8,9}–{1,2,3,4,5,6,7,8,9,10}
A – C={0}
B – C={1,2,5,10}–{1,2,3,4,5,6,7,8,9,10}
B – C={empty set}
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