If a set is defined by the constraints 'x is a natural number and x < 10', wh

Practice Questions

Q1
If a set is defined by the constraints 'x is a natural number and x < 10', which of the following is an element of this set?
  1. 10
  2. 5
  3. 0
  4. -3

Questions & Step-by-Step Solutions

If a set is defined by the constraints 'x is a natural number and x < 10', which of the following is an element of this set?
  • Step 1: Understand what a natural number is. Natural numbers are the positive integers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
  • Step 2: Identify the constraint given in the question, which is '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. These are: 1, 2, 3, 4, 5, 6, 7, 8, 9.
  • Step 4: Check the options provided in the question to see which one is in the list from Step 3.
  • Step 5: Confirm that 5 is in the list of natural numbers less than 10.
  • Natural Numbers – Natural numbers are the set of positive integers starting from 1, i.e., {1, 2, 3, ...}.
  • Inequalities – Understanding and applying inequalities to determine valid elements within a defined range.
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