Union Math Example 4

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

Example 4

easy
Find A∪BA \cup B if A={a,b,d}A = \{a, b, d\} and B={b,c,d,e}B = \{b, c, d, e\}.

Solution

  1. 1
    The union includes every element that is in AA or in BB.
  2. 2
    Combining the elements and removing repeats gives {a,b,c,d,e}\{a, b, c, d, e\}.

Answer

A∪B={a,b,c,d,e}A \cup B = \{a, b, c, d, e\}
Union collects all distinct elements appearing in either set. Shared elements are listed once because sets do not keep duplicates.

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 A∪BA \cup B.

Learn more about Union →

More Union Examples

Example 1 easy

Let [formula] and [formula]. Find [formula].

Example 2 medium

Let [formula] and [formula]. Express [formula] in interval notation.

Example 3 easy

Let [formula] and [formula]. Find [formula].

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