To determine whether the given statements are true or false, we will analyze each statement one by one and provide reasons for our conclusions.
### Statement (i): Every natural number is a whole number.
**Solution:**
- Natural numbers are defined as the set of positive integers starting from 1 and going up to infinity (1, 2, 3, ...).
- Whole numbers include all natural numbers along with zero (0, 1, 2, 3, ...).
- Since every natural number (1, 2, 3, ...) is included in the set of whole numbers, this statement is **True**.
### Statement (ii): Every integer is a whole number.
**Solution:**
- Integers include all positive and negative whole numbers, as well as zero (..., -3, -2, -1, 0, 1, 2, 3, ...).
- Whole numbers, on the other hand, only include non-negative numbers (0, 1, 2, 3, ...).
- Since integers can be negative (e.g., -1, -2), not all integers are whole numbers. Thus, this statement is **False**.
### Statement (iii): Every rational number is a whole number.
**Solution:**
- Rational numbers are defined as numbers that can be expressed in the form of a fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).
- Whole numbers are non-negative integers (0, 1, 2, 3, ...).
- There are many rational numbers that are not whole numbers (e.g., \( \frac{1}{2}, -3, \frac{19}{6} \)), which means that not every rational number is a whole number. Therefore, this statement is **False**.
### Summary of Answers:
1. (i) True
2. (ii) False
3. (iii) False
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