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In a constraint-based set, if the constraints are 'x is a positive integer and x

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Question: In a constraint-based set, if the constraints are \'x is a positive integer and x is less than 10\', which of the following is the largest element in the set?

Options:

  1. 8
  2. 9
  3. 10
  4. 7

Correct Answer: 9

Solution: 

The largest element in the set defined by the constraints is \'9\', as it is the largest positive integer less than 10.

In a constraint-based set, if the constraints are 'x is a positive integer and x

Practice Questions

Q1
In a constraint-based set, if the constraints are 'x is a positive integer and x is less than 10', which of the following is the largest element in the set?
  1. 8
  2. 9
  3. 10
  4. 7

Questions & Step-by-Step Solutions

In a constraint-based set, if the constraints are 'x is a positive integer and x is less than 10', which of the following is the largest element in the set?
  • Step 1: Understand the constraints given in the question. The constraints are that 'x is a positive integer' and 'x is less than 10'.
  • Step 2: Identify what a positive integer is. Positive integers are whole numbers greater than 0, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, etc.
  • Step 3: List the positive integers that are less than 10. These integers are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  • Step 4: Determine which of these integers is the largest. The largest number in the list (1, 2, 3, 4, 5, 6, 7, 8, 9) is 9.
  • Step 5: Conclude that the largest element in the set defined by the constraints is 9.
  • Constraints in Sets – Understanding how constraints define the elements of a set, particularly in terms of numerical properties.
  • Positive Integers – Recognizing the definition and range of positive integers, specifically in relation to given limits.
  • Inequalities – Applying inequalities to determine the maximum value within a defined range.
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