If a set is defined as {x | x is an even number greater than 0 and less than 20}

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Question: If a set is defined as {x | x is an even number greater than 0 and less than 20}, which of the following is NOT an element of this set?

Options:

Correct Answer: 21

Solution:

The number 21 is not included in the set as it does not meet the criteria of being less than 20.

If a set is defined as {x | x is an even number greater than 0 and less than 20}, which of the following is NOT an element of this set?

If a set is defined as {x | x is an even number greater than 0 and less than 20}, which of the following is NOT an element of this set?

Step 1: Understand the set definition. The set is defined as {x | x is an even number greater than 0 and less than 20}.
Step 2: Identify the criteria for the elements in the set. The elements must be even numbers, greater than 0, and less than 20.
Step 3: List the even numbers greater than 0 and less than 20. These numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18.
Step 4: Check the number 21. Determine if it meets the criteria of being an even number greater than 0 and less than 20.
Step 5: Conclude that 21 is not an even number less than 20, so it is NOT an element of the set.

Set Definition – Understanding how to define a set based on specific criteria.
Even Numbers – Recognizing even numbers and their properties.
Inequalities – Applying inequalities to determine if a number falls within a specified range.