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Sets — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSets1 Mark
Question
Let A, B and C be three sets. If A $∈$ B and B $⊂$ C, is it true that A $⊂$ C ? If not, give an example.
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Answer

We know that an element of a set can never be a subset of itself.
Suppose A = {1}, B = {{1}, 2} and C = {{1}, 2, 3}.
Here A $∈$ B as A = {1} and B $⊂$ C. But A $⊄$ C as 1 $∈$ A and 1 $∉$ C.

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