In a constraint-based set, if the constraints are 'x is a natural number and x &

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Question: In a constraint-based set, if the constraints are \'x is a natural number and x < 10\', which of the following is a valid element?

Options:

Correct Answer: 5

Solution:

5 is a valid element as it is a natural number and satisfies the constraint of being less than 10.

In a constraint-based set, if the constraints are 'x is a natural number and x < 10', which of the following is a valid element?

In a constraint-based set, if the constraints are 'x is a natural number and x < 10', which of the following is a valid element?

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 numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 4: Check if the number 5 is in the list of natural numbers less than 10. Since 5 is in the list, it satisfies both constraints.
Step 5: Conclude that 5 is a valid element in the constraint-based set.

Natural Numbers – Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).
Inequalities – Understanding and applying inequalities, specifically the concept of 'less than' in this context.
Set Constraints – Identifying valid elements within a set based on given constraints.