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In a scenario where a set is defined by the constraints of being both a prime nu

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Question: In a scenario where a set is defined by the constraints of being both a prime number and less than 10, which of the following numbers would be excluded?

Options:

  1. 2
  2. 3
  3. 5
  4. 9

Correct Answer: 9

Solution: 

The number \'9\' is excluded as it is not a prime number.

In a scenario where a set is defined by the constraints of being both a prime nu

Practice Questions

Q1
In a scenario where a set is defined by the constraints of being both a prime number and less than 10, which of the following numbers would be excluded?
  1. 2
  2. 3
  3. 5
  4. 9

Questions & Step-by-Step Solutions

In a scenario where a set is defined by the constraints of being both a prime number and less than 10, which of the following numbers would be excluded?
  • Step 1: Understand what a prime number is. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
  • Step 2: Identify the prime numbers that are less than 10. These are 2, 3, 5, and 7.
  • Step 3: Look at the number '9'. Check if it is a prime number.
  • Step 4: Determine that '9' can be divided by 1, 3, and 9. Since it has divisors other than 1 and itself, it is not a prime number.
  • Step 5: Conclude that '9' is excluded from the set of numbers that are both prime and less than 10.
  • Prime Numbers – A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. The only divisors of a prime number are 1 and itself.
  • Set Constraints – Understanding how to define a set based on specific criteria, such as being a prime number and having an upper limit.
  • Number Properties – Knowledge of the properties of numbers, particularly distinguishing between prime and composite numbers.
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