33. Decide, among the following sets, which sets
are subsets of one and another:
A={r:reR and satisfy r? - 8x +12=0}
B = {2,4,6}, C = {2,4,6,8,...), D = {6}.
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Answer:
A={x:x∈Rand x satisfiesx
2
−8x+12=0}
2 and 6 are the only solutions of x
2
−8x+12=0.
∴A={2,6}
B={2,4,6}
C={2,4,6,8,....}
D={6}
Clearly, D⊂A⊂B⊂C
Hence, A⊂B,A⊂C,B⊂C,D⊂A,D⊂B,D⊂C
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