If A ⊂ B, then A ∩ B = A ∪ B. a) sometimes b) always c) never

The Answer is Never- Hope this helps and have a great day!

Explanation:

We are given that set  A⊂B .

This means that set A is properly contained in set B.

i.e. A≠B

This means that there are some elements in set B which are not in set A.

Now we have to show whether the following property A∩B=A∪B

always, sometimes or never hold.

As A is a proper set of B.

This means that: A∩B=A ( Since A is a smaller set)

Also, A∪B=B  (Since B is a bigger set)

                  Hence, A∩B ≠ A∪B  (Since A≠ B)

Credit to -virtuematane

the answer

b. they are parallel and will never intersect.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.