Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true. {prosciutto, olives, kumquats, liver, mushrooms, quail} ___ {mushrooms, kumquats, liver, prosciutto, quail}.

Step-by-step explanation:

We have two sets of elements, we will call them A and B. Let's remember what does each symbol represents:

We say that A ⊆ B (A is included in B) if every element of A is also an element of B.

We say that A ⊂ B (A is strictly included in B) if every element of A is also an element of B, but there is at least one element of B that's not an element of A.

If we look our sets, we can see that all the elements on the second set are included on the first one. But the olives are on the first set and not in the second one. Therefore, the symbol that can be placed in the blank is ⊃.

If we only can use ⊂ or ⊆, without changes, the answer would be neither.