#### Question

Decide, among the following sets, which sets are subsets of one and another:

A = {*x*: *x* ∈ R and *x* satisfy *x*^{2} – 8*x* + 12 = 0}, B = {2, 4, 6}, C = {2, 4, 6, 8…}, D = {6}.

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#### Solution

A = {*x*: *x* ∈ R and *x* satisfies *x*^{2} – 8*x* + 12 = 0}

2 and 6 are the only solutions of *x*^{2} – 8*x* + 12 = 0.

∴ A = {2, 6}

B = {2, 4, 6}, C = {2, 4, 6, 8 …}, D = {6}

∴ D ⊂ A ⊂ B ⊂ C

Hence, A ⊂ B, A ⊂ C, B ⊂ C, D ⊂ A, D ⊂ B, D ⊂ C

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#### Reference Material

Solution for question: Decide, Among the Following Sets, Which Sets Are Subsets of One and Another: concept: Subsets. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)