Question: Find the intersection of the sets. \(\{1, 4, 6, 7\} \cap \{4, 7, 9\}\) Select the correct…

Find the intersection of the sets.

\(\{1, 4, 6, 7\} \cap \{4, 7, 9\}\)

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The intersection is the empty set.

B. \(\{1, 4, 6, 7\} \cap \{4, 7, 9\} = \{\}\)

(Use a comma to separate answers as needed.)

Solution

Identify the first set: \[ \{1, 4, 6, 7\} \] Identify the second set: \[ \{4, 7, 9\} \] Find the intersection of the two sets: \[ \{1, 4, 6, 7\} \cap \{4, 7, 9\} = \{4, 7\} \]