Ergebnisse (Grundbegriffe der Mengenlehre):

  1. A = {1, 2, 3, 4, 5, 6, 7}
    B = {5, 6, 7, 8, 9, 10}
    C = {-2, -1, 0, 1, 2, 3, 4}
    D = {-6, -5, -4, -3, -2}
    E = {2, 3, 5, 7}

  2. 3 Î A, 3 Ï B, -5 Ï C, -5 Î D
    A     Ë B, E Í A, E Ë B

  3. A ∩ B = {5, 6, 7}
    A ∩ C = {1, 2, 3, 4}
    B ∩ C = { }
    C ∩ D = {-2}
    A ∩ E = {2, 3, 5, 7} = E

  4. A ∪ B = {1, 2, 3, ... 10}
    A ∪ C = {-2, -1, 0, ... 7}
    B ∪ C = {-2, -1, 0, ... 10}
    C ∪ D = {-6, -5, -4, ... 4}
    A ∪ E = {1, 2, 3, 4, 5, 6, 7} = A

  5. A \ B = {1, 2, 3, 4}
    B \ A = {8, 9, 10}
    C \ D = {-1, 0, 1, 2, 3, 4}
    D \ C = {-6, -5, -4, -3}
    A \ E = {1, 4, 6}
    E \ A = { }

  6. I = [1, 5]
    J = [-2, 3]
    K = ]2, 6[
    L = [4, ∞[
    M = ]-∞ , 0[

  7. I ∩ J = [1, 3]
    I ∪ J = [-2, 5]
    J ∩ K = ]2, 3]
    J ∪ K = [-2, 6[
    I ∪ L = [1, ∞[
    I \ L = [1, 4[
    L \ I = ]5, ∞[
    L' = ]-∞, 4[
    K' = ]-∞, 2] ∪ [6, ∞[

Zum Inhaltsverzeichnis