Let A, B and C be three sets. If `A ∈ B and B ⊂ C`, is it true that `A ⊂ C`?. If not, give an example.

If A,B and C are any three sets , then A x (B nn C) is :

If A ,B and C are any three sets , then A x (B uu C ) is :

Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show that B = C .

If A,B and C are three sets such that A nn B= A nn C and A uu B=A uu C , then :

If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nnC , then :

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊂ B and B ∈ C , then A ∈ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊂ B and B ⊂ C , then A ⊂ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊄ B and B ⊄ C , then A ⊄ C

Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = φ .