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In a hybrid set, if set E = {x, y, z} and set F = {y, z, w}, what is the cardina

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Question: In a hybrid set, if set E = {x, y, z} and set F = {y, z, w}, what is the cardinality of the union of set E and set F? (2023)

Options:

  1. 3
  2. 4
  3. 5
  4. 6

Correct Answer: 4

Exam Year: 2023

Solution: 

The union of set E and set F is {x, y, z, w}, which has a cardinality of 4.

In a hybrid set, if set E = {x, y, z} and set F = {y, z, w}, what is the cardina

Practice Questions

Q1
In a hybrid set, if set E = {x, y, z} and set F = {y, z, w}, what is the cardinality of the union of set E and set F? (2023)
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

In a hybrid set, if set E = {x, y, z} and set F = {y, z, w}, what is the cardinality of the union of set E and set F? (2023)
  • Step 1: Identify the elements in set E, which are {x, y, z}.
  • Step 2: Identify the elements in set F, which are {y, z, w}.
  • Step 3: Combine the elements from both sets to form the union. The union includes all unique elements from both sets.
  • Step 4: List the unique elements: {x, y, z, w}.
  • Step 5: Count the number of unique elements in the union. There are 4 unique elements: x, y, z, and w.
  • Step 6: The cardinality of the union of set E and set F is 4.
  • Set Theory – Understanding the concepts of sets, unions, and cardinality.
  • Union of Sets – The union of two sets combines all unique elements from both sets.
  • Cardinality – The cardinality of a set is the number of unique elements it contains.
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