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

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

zzr0ck3r · Answer

is E a subset of C?
E = { -24,-26,-8,0,8,16...}
C = {...-12,-8,-4,0,4,8,12...}
is every element in E in C?

zzr0ck3r · Answer

write out the sets and see if each are subsets or not...

swissgirl · Answer

Ok well lets first explain what each set is
A=2,4,6,8,10,12....
B=3,6,9,12,15...
C=4,8,12,16...
D=6,12,18,24....
E=8,16,24,32....
As you can see Everything in E is included in C and everything in C is included in D
So $ E \subseteq C \subseteq A$

swissgirl · Answer

Whoops there is in error the second last line should say
As you can see Everything in E is included in C and everything in C is included in A

swissgirl · Answer

Do you follow?