if A= (-3,-2,-1,-4) B= (0,1,2,4) C= (-3,0,2) find A-(BUC)
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A = {0, 1, 2, 4, 5}
B = {0, 2, 4, 6, 8}
C = {0, 3, 6, 9}
B ∪ C = {0, 2, 4, 6, 8} ∪ {0, 3, 6, 9}
= {0, 2, 3, 4, 6, 8, 9}
∴ A ∪ (B ∪ C)
= {0, 1, 2, 4, 5} ∪ {0, 2, 3, 4, 6, 8, 9}
⇒ A ∪ (B ∪ C)
= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} ____(i)
A ∪ B = {0, 1, 2, 4, 5} ∪ {0, 2, 4, 6, 8}
= {0, 1, 2, 4, 5, 6, 8}
∴ (A ∪ B) ∪ C
= {0, 1, 2, 4, 5, 6, 7, 8} ∪ {0, 3, 6, 9}
⇒ (A ∪ B) ∪ C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} ___(ii)
From I and II, we get
A ∪ (B ∪ C) = (A ∪ B) ∪ C
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