Decide, among the following sets, which sets are subsets of one and another:
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}.
5 views
1 Answers
A = {x: x ∈ 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
5 views
Answered