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

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Question: 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?

Options:

Correct Answer: 5

Solution:

5 is a natural number and is less than 10, making it a valid element of the set defined by the given constraints.

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?

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.