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In a scenario where a set is defined by the constraints 'x is a positive integer

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Question: In a scenario where a set is defined by the constraints \'x is a positive integer and x is less than 20\', which of the following numbers is included in this set?

Options:

  1. 0
  2. 15
  3. 20
  4. 25

Correct Answer: 15

Solution: 

15 is a positive integer and is less than 20, making it a valid member of the set.

In a scenario where a set is defined by the constraints 'x is a positive integer

Practice Questions

Q1
In a scenario where a set is defined by the constraints 'x is a positive integer and x is less than 20', which of the following numbers is included in this set?
  1. 0
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

In a scenario where a set is defined by the constraints 'x is a positive integer and x is less than 20', which of the following numbers is included in this set?
  • Step 1: Understand the constraints of the set. The set includes numbers that are positive integers and less than 20.
  • Step 2: Identify what a positive integer is. Positive integers are whole numbers greater than 0, such as 1, 2, 3, etc.
  • Step 3: List the positive integers that are less than 20. These numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, and 19.
  • Step 4: Check if the number 15 fits the criteria. 15 is a positive integer and it is less than 20.
  • Step 5: Conclude that since 15 meets both criteria, it is included in the set.
  • Set Definition – Understanding how to define a set based on given constraints, such as positivity and numerical limits.
  • Integer Properties – Recognizing the properties of integers, specifically positive integers and their range.
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