Answer: The correct option is (A) D ∩ E = D.
Step-by-step explanation: Given that a set D is not the empty set but is a subset of set E.
We are to select the TRUE statement.
SUBSET : A set A is said to be a subset of another set B if every element of set A is also in set B.
Since the set D is the subset of set E, so all the elements of set D will also be in set E.
So, the intersection of the sets D and E will be the set D.
That is, D ∩ E = D.
For example, let D = {1, 2, 3} and E = {0, 1, 2, 3, 4, 5}.
Then, D is a subset of E and D ∩ E = {1, 2, 3} = D.
Thus, option (A) is CORRECT.
