If a set is defined as {x | x is a natural number and x < 5}, which of the fo

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Question: If a set is defined as {x | x is a natural number and x < 5}, which of the following elements is NOT part of this set?

Options:

Correct Answer: 5

Solution:

The element \'5\' is not part of the set because the constraint specifies that x must be less than 5.

If a set is defined as {x | x is a natural number and x < 5}, which of the following elements is NOT part of this set?

If a set is defined as {x | x is a natural number and x < 5}, which of the following elements is NOT part of this set?

Step 1: Understand what a natural number is. Natural numbers are positive whole numbers starting from 1 (1, 2, 3, 4, ...).
Step 2: Look at the condition given in the set definition: x < 5. This means we are only interested in natural numbers that are less than 5.
Step 3: List the natural numbers that are less than 5. These numbers are 1, 2, 3, and 4.
Step 4: Identify the element in question, which is '5'.
Step 5: Compare '5' with the numbers we listed. Since '5' is not less than 5, it does not belong to the set.

Set Notation – Understanding how to interpret set-builder notation and the constraints it imposes on the elements of the set.
Natural Numbers – Recognizing the definition of natural numbers and their properties, particularly in relation to inequalities.