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

A= {x: x ∈ R and x satisfy x2 – 8x + 12 = 0},

B = {2, 4, 6},

C = {2, 4, 6, 8…},

D = {6}.

Asked by Abhisek | 11 months ago |  63

1 Answer

Solution :-

According to the question,

We have,

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

2 and 6 are the only solutions of x2 – 8x + 12 = 0.

Hence, A = {2, 6}

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

Hence, D ⊂ A ⊂ B ⊂ C

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

Answered by Pragya Singh | 11 months ago

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