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Question

Decide, among the following sets, which sets are subsets of one and another:
A={x:xϵ R and x satisfy x28x+12=0},
B={2,4,6},
C={2,4,6,8,...},D={6}

Solution
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A={x:xRand x satisfiesx28x+12=0}
2 and 6 are the only solutions of x28x+12=0.
A={2,6}
B={2,4,6}
C={2,4,6,8,....}
D={6}
Clearly, DABC
Hence, AB,AC,BC,DA,DB,DC

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