Question

If X ∈ A and A ⊄ of B then X ∈ B
If the statement is true or false, explain.

Answer 1

Answer:

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.

(i) If x∈A and A∈B, then x∈B

(ii) If A⊂B and B∈C, then A∈C

(iii) If A⊂B and B⊂C, then AC

(iv) If A



⊂B and B



⊂C, then A



⊂C

(v) If x∈A and A



⊂B, then x∈B

(vi) If A⊂B and x∈

/

B, then x∈

/