Union Math Example 3

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

Example 3

easy
Let P={a,b,c}P = \{a, b, c\} and Q={c,d,e}Q = \{c, d, e\}. Find PโˆชQP \cup Q.

Solution

  1. 1
    List elements from PP: a,b,ca, b, c.
  2. 2
    Add elements from QQ not already listed: d,ed, e.
  3. 3
    Therefore PโˆชQ={a,b,c,d,e}P \cup Q = \{a, b, c, d, e\}.

Answer

PโˆชQ={a,b,c,d,e}P \cup Q = \{a, b, c, d, e\}
Combine both sets and remove duplicates to form the union.

About Union

The union of sets AA and BB is the set of all elements that belong to AA, to BB, or to both, written AโˆชBA \cup B.

Learn more about Union โ†’

More Union Examples