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Decide, Among the Following Sets, Which Sets Are Subsets of One and Another: - CBSE (Arts) Class 11 - Mathematics

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Question

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

A = {xx ∈ R and x satisfy x2 – 8x + 12 = 0}, B = {2, 4, 6}, C = {2, 4, 6, 8…}, D = {6}.

Solution

A = {xx ∈ R and x satisfies x2 – 8x + 12 = 0}

2 and 6 are the only solutions of x2 – 8x + 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

  Is there an error in this question or solution?

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Solution Decide, Among the Following Sets, Which Sets Are Subsets of One and Another: Concept: Subsets.
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