In a constraint-based set defined as {x | x is a multiple of 3 and x < 30}, w

Practice Questions

Q1
In a constraint-based set defined as {x | x is a multiple of 3 and x < 30}, which of the following is the smallest element?
  1. 3
  2. 6
  3. 9
  4. 12

Questions & Step-by-Step Solutions

In a constraint-based set defined as {x | x is a multiple of 3 and x < 30}, which of the following is the smallest element?
  • Step 1: Understand the set definition. The set is defined as {x | x is a multiple of 3 and x < 30}. This means we are looking for numbers that are multiples of 3 and also less than 30.
  • Step 2: Identify the multiples of 3. The multiples of 3 are numbers like 3, 6, 9, 12, 15, 18, 21, 24, 27, and so on.
  • Step 3: List the multiples of 3 that are less than 30. From the previous step, the multiples of 3 that are less than 30 are: 3, 6, 9, 12, 15, 18, 21, 24, 27.
  • Step 4: Find the smallest number in the list. The smallest number in the list of multiples of 3 that are less than 30 is 3.
  • Step 5: Conclude that the smallest element in the set is 3.
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