Show that if A ⊂ B, then C – B ⊂ C – A.

Asked by Abhisek | 11 months ago |  90

1 Answer

Solution :-

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

C – B ⊂ C – A

Hence, Proved.

Answered by Pragya Singh | 11 months ago

Related Questions

If A = {x : x ϵ R, x < 5} and B = {x : x ϵ R, x > 4}, find A ∩ B.

Class 11 Maths Sets View Answer

Find the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.

Class 11 Maths Sets View Answer