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

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Question: 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?

Options:

Correct Answer: 3

Solution:

The smallest element in the set of multiples of 3 that are less than 30 is \'3\'.

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?

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.

Multiples of a Number – Understanding how to identify multiples of a given number (in this case, 3) and applying constraints (less than 30).
Set Notation – Interpreting set notation and constraints to determine the elements of a set.