Given the following sets, select the statement below that is true.

Question

A = {l, a, t, e, r}, B = {l, a, t, e},
C = {t, a, l, e}, D = {e, a, t}

Answer 1

The question does not appear complete. Please check.

Answer 2

Sorry about that....

Given the following sets, select the statement below that is true.
A = {l, a, t, e, r}, B = {l, a, t, e}, C = {t, a, l, e}, D = {e, a, t}

B ⊂ C and C ⊆ A
C ⊆ B and D ⊂ B
D ⊂ A and A ⊂ D
B ⊂ A and C ⊂ D
D ⊆ A and A ⊂ C

Answer 3

⊂ means "a proper subset of"
P ⊂ Q requires that every element of P is also in element Q, and in addition, P cannot be equal to Q.

⊆ means "a subset of, or equal to"

Based on the given information, give an attempt at the solution.

Answer 4

my answer would be C ⊆ B and D ⊂ B...is that correct?

Answer 5

Your answer is correct.

C={t,a,l,e}
B={l,a,t,e}
Since they contain exactly the same elements, we cannot say C⊂B, nor B⊂C, but C⊆B or B⊆C would both be correct.

Also, since
D = {e, a, t}
every element of D is in C, while the element "l" that is in C but not n D.
We can therefore safely say that D is a proper subset of C.