Question

Let u = a, b, c, d and v = b, d, f. What is the value of u ∩ v?

1) a
2) b
3) c
4) d

Answer 1

The intersection of sets u = {a, b, c, d} and v = {b, d, f} is {b, d}, representing the common elements in both sets.

Step-by-step explanation:

The question involves the concept of set intersection, which is part of set theory in mathematics. Given two sets, u and v, the intersection of u and v, denoted as u ∩ v, is the set of elements that are common to both u and v. So for u = {a, b, c, d} and v = {b, d, f}, the intersection is those elements that appear in both sets.

The correct calculation of the intersection is as follows:

• First list all the elements of set u: a, b, c, d.
• Then list all the elements of set v: b, d, f.
• Identify the common elements: b, d.

Therefore, the intersection of u and v, which is u ∩ v, is {b, d}.