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In a scenario where a set is defined as {x | x is a positive integer and x is le

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Question: In a scenario where a set is defined as {x | x is a positive integer and x is less than 10}, which of the following is the largest element in this set?

Options:

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

Correct Answer: 9

Solution: 

The largest element in the set of positive integers less than 10 is \'9\'.

In a scenario where a set is defined as {x | x is a positive integer and x is le

Practice Questions

Q1
In a scenario where a set is defined as {x | x is a positive integer and x is less than 10}, which of the following is the largest element in this set?
  1. 8
  2. 9
  3. 10
  4. 7

Questions & Step-by-Step Solutions

In a scenario where a set is defined as {x | x is a positive integer and x is less than 10}, which of the following is the largest element in this set?
  • Step 1: Understand the set notation {x | x is a positive integer and x is less than 10}.
  • Step 2: Identify what 'positive integer' means. Positive integers are whole numbers greater than 0.
  • Step 3: List the positive integers that are less than 10: 1, 2, 3, 4, 5, 6, 7, 8, 9.
  • Step 4: Determine the largest number in the list: 1, 2, 3, 4, 5, 6, 7, 8, 9.
  • Step 5: Identify that the largest number is 9.
  • Set Notation – Understanding how to interpret set builder notation to identify the elements of a set.
  • Positive Integers – Recognizing the definition of positive integers and their range.
  • Inequalities – Applying the concept of inequalities to determine the largest element in a specified range.
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