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}
It is given in the question that,
A = {x : x R and x satisfy x2 – 8x + 12 = 0}
As, 2 and 6 are the only solutions of x2 – 8x + 12 = 0
∴ A = {2, 6}
Also it is given that,
B = {2, 4, 6}
C = {2, 4, 6, 8, …..}
And, D = {6}
∴
Hence,