Show that if A ⊂ B, then C – B ⊂ C – A.
To show,
C – B ⊂ C – A
According to the question,
Let us assume that x is any element such that X ∈ C – B
x ∈ C and x ∉ B
Since, A ⊂ B, we have,
x ∈ C and x ∉ A
So, x ∈ C – A
Hence, Proved.
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).