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Set-Theory · Sets

{0,1,2,3,4} union {5}

Trin for trin

  1. A = \left\{0, 1, 2, 3, 4\right\},\quad B = \left\{5\right\}

    The two sets.

  2. A \cup B = \left\{0, 1, 2, 3, 4, 5\right\}

    Keep everything in either set.

  3. |A| = 5,\ |B| = 1,\ |A \cup B| = 6

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

Afslør svaret
A \cup B = \left\{0, 1, 2, 3, 4, 5\right\}