If a constraint-based set is defined as 'the set of all x such that x is a natur

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Question: If a constraint-based set is defined as \'the set of all x such that x is a natural number and x < 10\', which of the following is a valid representation of this set?

Options:

{1, 2, 3, 4, 5, 6, 7, 8, 9}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Correct Answer: {1, 2, 3, 4, 5, 6, 7, 8, 9}

Solution:

The correct representation of the set is {1, 2, 3, 4, 5, 6, 7, 8, 9}, as it includes all natural numbers less than 10.

If a constraint-based set is defined as 'the set of all x such that x is a natur

Practice Questions

If a constraint-based set is defined as 'the set of all x such that x is a natural number and x < 10', which of the following is a valid representation of this set?

{1, 2, 3, 4, 5, 6, 7, 8, 9}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Questions & Step-by-Step Solutions

If a constraint-based set is defined as 'the set of all x such that x is a natural number and x < 10', which of the following is a valid representation of this set?

Step 1: Understand what a natural number is. Natural numbers are the positive integers starting from 1 (1, 2, 3, ...).
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 starting from 1 and stop before reaching 10. The numbers are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step 4: Combine these numbers into a set format. The set of all natural numbers less than 10 is {1, 2, 3, 4, 5, 6, 7, 8, 9}.
Step 5: Verify that this set includes all natural numbers that meet the condition of being less than 10.

Set Representation – Understanding how to represent a set based on given constraints.
Natural Numbers – Knowledge of what constitutes natural numbers and their properties.
Inequalities – Interpreting and applying inequalities to define set boundaries.

If a constraint-based set is defined as 'the set of all x such that x is a natur

What’s inside this PDF?

If a constraint-based set is defined as 'the set of all x such that x is a natur

Practice Questions

Questions & Step-by-Step Solutions

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