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Consider the given universal set T and its subjects C, D and E
T = {0, 2, 4, 6, 8, 10, 12}
C = {4, 8,}
D = {10, 2, 0}
E = {0}
Find out
ii) D ∩ E
iii) C ∩ D ∩ E
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Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +
Solution i) D ∩ E = {10, 2, 0} ∩ {0} = {0} ii) C ∩ D ∩ E = {4, 8} ∩ {10, 2, 0} ∩ {0} = { } = Ø
Solution
i) D ∩ E = {10, 2, 0} ∩ {0} = {0}
ii) C ∩ D ∩ E = {4, 8} ∩ {10, 2, 0} ∩ {0} = { } = Ø
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