Answer:
Step-by-step explanation:
You want the union and intersection of the sets ...
The attachment shows the sets graphed against a number line. Set D is represented by the top line, which ends in an open circle at v=2. Set E is represented by the bottom line, which ends in a filled circle at v=6.
The union of the two sets is the set of numbers that is in either of the sets. Since set E overlaps set D and contains all of set D, the union of the two sets will be identical to set E.
D ∪ E = E = {v | v ≤ 6}
The intersection of the sets is the set of numbers that are in both sets. These are the numbers where sets D and E overlap. The overlap is identical to set D, so the intersection of the two sets will be identical to set D.
D ∩ E = D = {v | v < 2}