If a set is defined as {x | x is a natural number and x < 10}, which of the f

Practice Questions

Q1
If a set is defined as {x | x is a natural number and x < 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

If a set is defined as {x | x is a natural number and x < 10}, which of the following is the largest element in this set?
  • Step 1: Understand what a natural number is. Natural numbers are the positive integers starting from 1 (1, 2, 3, ...).
  • Step 2: Identify the condition given in the set definition: x < 10. This means we are looking for natural numbers that are less than 10.
  • Step 3: List the natural numbers that are less than 10: 1, 2, 3, 4, 5, 6, 7, 8, 9.
  • Step 4: Determine the largest number in the list from Step 3. The largest number is 9.
  • Step 5: Conclude that the largest element in the defined set is 9.
  • Set Notation – Understanding how to interpret set-builder notation to identify the elements of a set.
  • Natural Numbers – Recognizing the definition of natural numbers and their properties, particularly in relation to inequalities.
  • Inequalities – Applying knowledge of inequalities to determine the largest number within a specified range.
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