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Set-Theory · Sets

{1,2} symmetric difference {2,3}

Step by step

  1. A = \left\{1, 2\right\},\quad B = \left\{2, 3\right\}

    The two sets.

  2. A \,\triangle\, B = \left\{1, 3\right\}

    Keep in exactly one of the two.

  3. |A| = 2,\ |B| = 2,\ |A \,\triangle\, B| = 2

    Cardinalities. Note |A ∪ B| = |A| + |B| − |A ∩ B|.

Reveal the answer
A \,\triangle\, B = \left\{1, 3\right\}