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In a constraint-based set defined as {x | x is a positive integer and x is less

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Question: In a constraint-based set defined as {x | x is a positive integer and x is less than or equal to 5}, which of the following is the largest element?

Options:

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

Correct Answer: 5

Solution: 

The largest element in the set is 5, as it is the maximum value defined by the constraints.

In a constraint-based set defined as {x | x is a positive integer and x is less

Practice Questions

Q1
In a constraint-based set defined as {x | x is a positive integer and x is less than or equal to 5}, which of the following is the largest element?
  1. 4
  2. 5
  3. 6
  4. 3

Questions & Step-by-Step Solutions

In a constraint-based set defined as {x | x is a positive integer and x is less than or equal to 5}, which of the following is the largest element?
  • Step 1: Understand the set notation {x | x is a positive integer and x is less than or equal to 5}. This means we are looking for numbers (x) that meet certain conditions.
  • Step 2: Identify the conditions: x must be a positive integer (which means it must be a whole number greater than 0) and x must be less than or equal to 5.
  • Step 3: List the positive integers that are less than or equal to 5. These numbers are 1, 2, 3, 4, and 5.
  • Step 4: Determine which of these numbers is the largest. The numbers we listed are 1, 2, 3, 4, and 5, and the largest of these is 5.
  • Step 5: Conclude that the largest element in the set is 5.
  • Set Theory – Understanding the definition and properties of sets, particularly those defined by constraints.
  • Inequalities – Interpreting and applying inequalities to determine the bounds of a set.
  • Positive Integers – Recognizing the characteristics of positive integers and their implications in set definitions.
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