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Quiz

Intervall

Deleted user 4 questions Updated 31 May 2022

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Questions in this quiz (4)

  1. 1Bestätigen Sie die folgenden Bezeichnungen, die richtige Schreibweise der Intervallen bezeichnet.
    a. \( [a,\infty[==(a,\infty) \) [blank_start]f[blank_end]
    b. \( ]\pi,\infty[==[a,\infty) \) [blank_start]f[blank_end]
    c. \( ]a,\pi[==(a,\pi] \) [blank_start]r[blank_end]
    1. Arichtig
    2. Bfalsch
    3. Crichtig
    4. Dfalsch
    5. Erichtig
    6. Ffalsch
  2. 2Schreiben Sie die Intervalle in der Mengenschreibweise
    a. \( ]2,5]\ := \{x\in\mathbb{R}\ |\ 2 \)[blank_start]a[blank_end]\( x \)[blank_start]a[blank_end]\( 5\} \)
    b. \( [-1,7]\ := \{x\in\mathbb{R}\ |\ -1 \)[blank_start]a[blank_end]\( x \)[blank_start]a[blank_end]\( 7\} \)
    c. \( ]-3,3[\ := \{x\in\mathbb{R}\ |\ -3 \)[blank_start]a[blank_end]\( x \)[blank_start]a[blank_end]\( 3\} \)

    Hinweis :
    Ergänzen Sie die Lücke mit
    1. <
    2. \(\le\)
    1. A1
    2. B2
    3. C1
    4. D2
    5. E1
    6. F2
    7. G1
    8. H2
    9. I1
    10. J2
    11. K1
    12. L2
  3. 3Vereinfachen Sie:
    a. \( ]2,5]\ \backslash\ ]3,5] \) = [blank_start]a[blank_end][blank_start]b[blank_end],[blank_start]c[blank_end][blank_start]d[blank_end]
    b. \( ]0,7]\ \backslash\ [0,3[ \) = [blank_start]a[blank_end][blank_start]b[blank_end],[blank_start]c[blank_end][blank_start]d[blank_end]
    c. \( ]-10,2]\ \cup\ [0,3[ \) = [blank_start]a[blank_end][blank_start]b[blank_end],[blank_start]c[blank_end][blank_start]d[blank_end]
    d. \( ]2,\infty[ \cap [-1,3[ \) = [blank_start]a[blank_end][blank_start]b[blank_end],[blank_start]c[blank_end][blank_start]d[blank_end]
    1. A[
    2. B]
    3. C[
    4. D]
    5. E[
    6. F]
    7. G[
    8. H]
    9. I[
    10. J]
    11. K[
    12. L]
    13. M[
    14. N]
    15. O[
    16. P]
    17. Q2
    18. R3
    19. S5
    20. T2
    21. U3
    22. V5
    23. W0
    24. X3
    25. Y7
    26. Z0
    27. AA3
    28. AB7
    29. AC-10
    30. AD0
    31. AE2
    32. AF3
    33. AG-10
    34. AH0
    35. AI2
    36. AJ3
    37. AK-1
    38. AL2
    39. AM3
    40. ANunendlich
    41. AO-1
    42. AP2
    43. AQ3
    44. ARunendlich
  4. 4Gegeben seien \(A\ := \{x\in\mathbb{R}\ |\ x<10\} \), \(B\ := \{x\in\mathbb{R}\ |\ x<5\} \), \(C\ := \{x\in\mathbb{R}\ |\ -2<x\} \), \(D\ := \{x\in\mathbb{R}\ |\ 0<x\} \), \(E\ := \{x\in\mathbb{R}\ |\ -3<x\le5\} \) und \(F\ := \{x\in\mathbb{R}\ |\ 2<x\le4\} \)

    Dann gilt :
    \(]-2,10[\ =\ (\)[blank_start]A[blank_end]\( \cup E)\)[blank_start]\cap[blank_end]\( C\ =\ A \cap \)[blank_start]C[blank_end]
    \((-\infty,\infty)\ =\ D \)[blank_start]\cup[blank_end] [blank_start]B[blank_end]
    \(\{1,2\}\ =\ (\)[blank_start]D[blank_end]\( \cap B) \)[blank_start]\backslash[blank_end]\( F \)
    1. A\(A\)
    2. B\(\cap\)
    3. C\(C\)
    4. D\(\cup\)
    5. E\(B\)
    6. F\(D\)
    7. G\(\backslash\)

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Description
User has deleted their subject information Quiz on Intervall, created by Deleted user on 13/09/2021.
Author
Deleted user
Language
English
Views
46
History
Created on 13 Sep 2021 · updated on 31 May 2022
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