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 1

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}

Therefore we can say

D ⊂ A ⊂ B ⊂ C