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If a set A contains elements {1, 2, 3, 4, 5} and a constraint states that only e

Practice Questions

Q1
If a set A contains elements {1, 2, 3, 4, 5} and a constraint states that only even numbers can be included, what will be the resulting set?
  1. {2, 4}
  2. {1, 3, 5}
  3. {1, 2, 3, 4, 5}
  4. {}

Questions & Step-by-Step Solutions

If a set A contains elements {1, 2, 3, 4, 5} and a constraint states that only even numbers can be included, what will be the resulting set?
  • Step 1: Identify the elements in set A, which are {1, 2, 3, 4, 5}.
  • Step 2: Understand the constraint that only even numbers can be included.
  • Step 3: Look at each element in set A and determine if it is even.
  • Step 4: The even numbers in set A are 2 and 4.
  • Step 5: Create a new set that includes only the even numbers found in step 4.
  • Step 6: The resulting set is {2, 4}.
  • Set Theory – Understanding the properties of sets and how to apply constraints to filter elements.
  • Even and Odd Numbers – Identifying even numbers within a given set.
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