Decide among the following sets, which are subsets of which:
$A = {x : x satisfies x^{2} - 8 x + 12 = 0},$
$B = \{2, 4, 6\}, C = \{2, 4, 6, 8, . . .\}, D = \{6\} .$

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Solution

We have:
$A = {x : x satisfies x^{2} - 8 x + 12 = 0 .} = {2, 6}$
B = {2, 4, 6}
C = {2, 4, 6, 8,...}
D = {6}
Therefore, we can say that D $\subset$ A $\subset$ B $\subset$ C.

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Decide among the following sets , which are subsets of which :

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