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प्रश्न
Decide among the following sets, which are subsets of which:
\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]
\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]
उत्तर
We have:
\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0 . } = {2, 6}\]
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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