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If A={x:x is a multiple of 3} and B={x:x is a multiple of 4} and C={x:x is a multiple of 12}, then which one of the following is a null set?A. `(A//B)uuC`B. `(A//B)//C`C. `(AnnB)nnC`D. `(AnnB)//C` |
Answer» Correct Answer - D A={x:x is a multiple of 3} `therefore` A={3, 6, 9, 12, 15, 18, 24,….} `therefore (AnnB)/(C)` `"B={x : x is a multiple of 4}"` `thereforeB={4,8,12,16,20,24,28,32,....}` C={x : x is a multiple of 12} `therefore C={12, 24, 36, 48, 60, 72, 84, 96,....}` `AnnB={12,24,....}= (AnnB)/(C)`. |
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