Decide, among the following sets, which sets are subsets of one and an – InterviewSolution

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1.

Decide, among the following sets, which sets are subsets of one and another:A = {x: x ∈ R and satisfy x2 – 8x + 12 = 0},B ={2, 4, 6}C={2, 4, 6, 8,-}D = {6}.

Answer»

x² - 8x + 12 = 0

⇒(x - 6)(x - 2) = 0

⇒ x = 2, 6

∴ A = {2, 6}

∴ A ⊂ B and A ⊂ C; B ⊂ C, D ⊂ B and D ⊂ C.

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