Question

Given the following sets, select the statement below that is true.
A = {r, i, s, k, e, d}, B = {r, i, s, e}, C = {s, i, r}

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

Answer 1

What convention is your class using for which symbol means proper subset rather than subset?

Answer 2

this is the question

Answer 3

nothing else is given

Answer 4

...well I can't answer that question for you. You'll have to find it in your notes or your book. Different sources use the symbols differently.

Answer 5

Which one means proper subset?

Answer 6

Upon further inspection, it doesn't matter.
The first possibility can be eliminated because A is neither a subset or a proper subset of B.
The second possibility can be eliminated because B is not a subset of C.
The third possibility can be eliminated because A is not a subset of C.
The fifth possibility can be eliminated because B is not a subset of C.

This leaves only the fourth choice. Which also tells you that your professor prefers to use that symbol to mean proper subset.

Answer 7

yes the 4th is true