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 or equal to 20', which of the following statements is true?
  1. The set includes negative integers.
  2. The set includes the number 20.
  3. The set includes zero.
  4. The set includes fractions.

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 or equal to 20', which of the following statements is true?
  • Step 1: Understand the constraints given in the question. The constraints are that 'x is a positive integer' and 'x is less than or equal to 20'.
  • Step 2: Identify what a positive integer is. Positive integers are whole numbers greater than zero, such as 1, 2, 3, and so on.
  • Step 3: Determine the range of positive integers that are less than or equal to 20. This includes all numbers from 1 to 20.
  • Step 4: Check if the number 20 fits within the defined set. Since 20 is a positive integer and it is equal to 20, it satisfies both constraints.
  • Step 5: Conclude that the statement about the number 20 being included in the set is true.
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