Respuesta :

Answer:

  • D ∪ E = {v | v ≤ 6}
  • D ∩ E = {v | v < 2}

Step-by-step explanation:

You want the union and intersection of the sets ...

  • D = {v | v < 2}
  • E = {v | v ≤ 6}

Graph

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.

Union

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}

Intersection

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}

Ver imagen sqdancefan