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 = 6A = {2,6} 

B = {2,4,6} 

C = {2,4,6,8} 

D = {6} 

So we can say 

D⊂A⊂B⊂C