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If a constraint-based set is defined as 'the set of all x such that x is an inte

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Question: If a constraint-based set is defined as \'the set of all x such that x is an integer and 1 ≤ x ≤ 5\', which of the following is a valid representation of this set?

Options:

  1. {1, 2, 3, 4, 5}
  2. {0, 1, 2, 3, 4, 5}
  3. {1, 2, 3, 4, 5, 6}
  4. {2, 3, 4, 5, 6}

Correct Answer: {1, 2, 3, 4, 5}

Solution: 

The valid representation of the set is {1, 2, 3, 4, 5} as it includes all integers within the specified range.

If a constraint-based set is defined as 'the set of all x such that x is an inte

Practice Questions

Q1
If a constraint-based set is defined as 'the set of all x such that x is an integer and 1 ≤ x ≤ 5', which of the following is a valid representation of this set?
  1. {1, 2, 3, 4, 5}
  2. {0, 1, 2, 3, 4, 5}
  3. {1, 2, 3, 4, 5, 6}
  4. {2, 3, 4, 5, 6}

Questions & Step-by-Step Solutions

If a constraint-based set is defined as 'the set of all x such that x is an integer and 1 ≤ x ≤ 5', which of the following is a valid representation of this set?
  • Step 1: Understand the constraint-based set definition. It says we are looking for all values of x that are integers and fall between 1 and 5, inclusive.
  • Step 2: Identify the range given in the question. The range is from 1 to 5, which means we include both 1 and 5.
  • Step 3: List all the integers that fall within this range. The integers are 1, 2, 3, 4, and 5.
  • Step 4: Write the set using curly braces to show it contains these integers. The set is represented as {1, 2, 3, 4, 5}.
  • Step 5: Confirm that this representation includes all integers from 1 to 5, which matches the criteria given in the question.
  • Set Representation – Understanding how to represent a set based on given constraints.
  • Integer Constraints – Identifying integers within a specified range.
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