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If a hybrid set contains elements {x, y, z} and another set contains {y, z, w},

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Question: If a hybrid set contains elements {x, y, z} and another set contains {y, z, w}, what is the hybrid set\'s complement with respect to the universal set {x, y, z, w, v}?

Options:

  1. {v}
  2. {x, w}
  3. {y, z}
  4. {x, y, z, w}

Correct Answer: {v}

Solution:

The complement of the hybrid set with respect to the universal set includes elements that are in the universal set but not in the hybrid set, which is {v}.

If a hybrid set contains elements {x, y, z} and another set contains {y, z, w},

Practice Questions

Q1
If a hybrid set contains elements {x, y, z} and another set contains {y, z, w}, what is the hybrid set's complement with respect to the universal set {x, y, z, w, v}?
  1. {v}
  2. {x, w}
  3. {y, z}
  4. {x, y, z, w}

Questions & Step-by-Step Solutions

If a hybrid set contains elements {x, y, z} and another set contains {y, z, w}, what is the hybrid set's complement with respect to the universal set {x, y, z, w, v}?
  • Step 1: Identify the hybrid set, which contains the elements {x, y, z}.
  • Step 2: Identify the universal set, which contains the elements {x, y, z, w, v}.
  • Step 3: Determine which elements are in the universal set but not in the hybrid set.
  • Step 4: Compare the elements: The universal set has {x, y, z, w, v} and the hybrid set has {x, y, z}.
  • Step 5: The elements in the universal set that are not in the hybrid set are {w, v}.
  • Step 6: Therefore, the complement of the hybrid set with respect to the universal set is {w, v}.
  • Set Theory – Understanding the concepts of hybrid sets, complements, and universal sets.
  • Complement of a Set – Identifying elements in the universal set that are not present in the specified set.
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