If A ⊂ B and B ⊂ C, what can we conclude?a.A = Cb.C ⊂ Ac.B = Cd.A ⊂ C

From the given conditions, we know that A is a subset of B and B is a subset of C. This means that all elements of A are also elements of B, and all elements of B are also elements of C.

Therefore, we can conclude that:

a. A = C: This is not necessarily true. While all elements of A are in C (because they're in B which is a subset of C), C could have additional elements that are not in A. So, A could be equal to C, but it's not guaranteed.

b. C ⊂ A: This is not necessarily true. While all elements of A are in C, C could have additional elements that are not in A. So, C is not necessarily a subset of A.

c. B = C: This is not necessarily true. While all elements of B are in C, C could have additional elements that are not in B. So, B could be equal to C, but it's not guaranteed.

d. A ⊂ C: This is true. Since A is a subset of B and B is a subset of C, it follows that all elements of A are also elements of C. Therefore, A is a subset of C.

We can conclude that:

d. A ⊂ C

Explanation:

If A is a subset of B and B is a subset of C, then all elements of A are also elements of C. Therefore, A is a subset of C.