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If set E = {x, y, z} and set F = {y, z, w}, what is the complement of set E with

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Question: If set E = {x, y, z} and set F = {y, z, w}, what is the complement of set E with respect to the universal set U = {x, y, z, w, v}?

Options:

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

Correct Answer: {v}

Solution: 

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

If set E = {x, y, z} and set F = {y, z, w}, what is the complement of set E with

Practice Questions

Q1
If set E = {x, y, z} and set F = {y, z, w}, what is the complement of set E with respect to the universal set U = {x, y, z, w, v}?
  1. {v}
  2. {w, v}
  3. {x, y, z}
  4. {y, z}

Questions & Step-by-Step Solutions

If set E = {x, y, z} and set F = {y, z, w}, what is the complement of set E with respect to the universal set U = {x, y, z, w, v}?
  • Step 1: Identify the universal set U, which is {x, y, z, w, v}.
  • Step 2: Identify set E, which is {x, y, z}.
  • Step 3: Find the elements in U that are not in E.
  • Step 4: The elements in U are x, y, z, w, and v. The elements in E are x, y, and z.
  • Step 5: Remove the elements of E from U. The remaining element is w and v.
  • Step 6: The complement of set E with respect to U is {w, v}.
  • Set Complement – The complement of a set includes all elements in the universal set that are not in the specified set.
  • Universal Set – The universal set contains all possible elements under consideration for a particular discussion or problem.
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