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Question -

Decide among the following sets, which are subsets of which:
A = {x: x satisfies x2 – 8x + 12=0}, B = {2,4,6}, C = {2,4,6,8,….}, D = {6}



Answer -

A = x2 – 8x + 12=0
⇒ (x–6) (x–2) =0
⇒ x = 2 or x = 6
A = {2, 6}
B = {2, 4, 6}
C = {2, 4, 6, 8}
D = {6}
So we can say
D⊂A⊂B⊂C

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