Intersection Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
Find AโˆฉBA \cap B if A={2,4,6,8}A = \{2, 4, 6, 8\} and B={1,2,3,4,5}B = \{1, 2, 3, 4, 5\}.

Solution

  1. 1
    The intersection keeps only elements that are in both sets.
  2. 2
    The common elements are 2 and 4, so the intersection is {2,4}\{2, 4\}.

Answer

AโˆฉB={2,4}A \cap B = \{2, 4\}
Intersection uses AND logic: an element is included only if it appears in both sets. Elements that belong to just one set are excluded.

About Intersection

The intersection of sets AA and BB is the set of all elements that belong to both AA and BB simultaneously, written AโˆฉBA \cap B.

Learn more about Intersection โ†’

More Intersection Examples