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Set-Theory · Sets

{1,2,3} union {3,4}

Steg för steg

  1. A = \left\{1, 2, 3\right\},\quad B = \left\{3, 4\right\}

    The two sets.

  2. A \cup B = \left\{1, 2, 3, 4\right\}

    Keep everything in either set.

  3. |A| = 3,\ |B| = 2,\ |A \cup B| = 4

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

Avslöja svaret
A \cup B = \left\{1, 2, 3, 4\right\}