Question

Let A, B, C, D, E ⊆ Z be defined as follows:
A  {2n|n ∈ Z}—that is, A is the set of all (integer)
multiples of 2;
B  {3n|n ∈ Z}; C  {4n|n ∈ Z};
D  {6n|n ∈ Z}; and E  {8n|n ∈ Z}.
a) Which of the following statements are true and which
are false?
i) E ⊆ C ⊆ A ii) A ⊆ C ⊆ E
iii) B ⊆ D iv) D ⊆ B
v) D ⊆ A vi) D ⊆ A

Determine each of the following sets.
i) C ∩ E ii) B ∪ D iii) A ∩ B
iv) B ∩ D v) A vi) A ∩ E