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Which of the following is a subset of {x, y, z}?

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Question: Which of the following is a subset of {x, y, z}?

Options:

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

Correct Answer: {x, y}

Solution: 

A subset can only contain elements that are in the original set. {x, y} is a valid subset of {x, y, z}.

Which of the following is a subset of {x, y, z}?

Practice Questions

Q1
Which of the following is a subset of {x, y, z}?
  1. {x, y}
  2. {x, y, z, w}
  3. {y, z, w}
  4. {x, y, z, x}

Questions & Step-by-Step Solutions

Which of the following is a subset of {x, y, z}?
  • Step 1: Understand what a set is. A set is a collection of distinct elements, like {x, y, z}.
  • Step 2: Know what a subset is. A subset is a set that contains some or all elements of another set.
  • Step 3: Identify the original set. In this case, the original set is {x, y, z}.
  • Step 4: Check the options given to see if they only contain elements from the original set.
  • Step 5: For example, {x, y} is a subset because both x and y are in {x, y, z}.
  • Step 6: Remember that an empty set {} is also a subset of any set.
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