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}
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}
So we can say
D⊂A⊂B⊂C
If A = {x : x ϵ R, x < 5} and B = {x : x ϵ R, x > 4}, find A ∩ B.
Prove that A – B = A ∩ B.’
Find the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.
Prove that A ∩ (A ⋃ B)’ = ϕ
If A = {3, {2}}, find P(A).