1. **State the problem:** We need to place the numbers 28, -43, 19, -8.09, and 4/5 into a Venn diagram with three nested sets: Whole numbers inside Rational numbers inside Integers. 2. **Recall definitions:** - Whole numbers: 0, 1, 2, 3, ... (non-negative integers) - Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (all positive and negative whole numbers including zero) - Rational numbers: numbers that can be expressed as a fraction \frac{a}{b} where a and b are integers and b \neq 0 3. **Classify each number:** - 28: a positive whole number, so it belongs to Whole numbers, Rational numbers, and Integers. - -43: a negative integer, so it belongs to Integers and Rational numbers but not Whole numbers. - 19: a positive whole number, so it belongs to Whole numbers, Rational numbers, and Integers. - -8.09: a decimal number that is not a fraction of integers, so it is not Rational or Integer or Whole number. - 4/5: a fraction, so it is Rational but not Integer or Whole number. 4. **Place numbers in the Venn diagram regions:** - Whole numbers (smallest circle): 28, 19 - Integers but not Whole numbers (middle circle excluding smallest): -43 - Rational numbers but not Integers (largest circle excluding middle): 4/5 - Outside all circles (not Rational): -8.09 Final answer: - Whole numbers: 28, 19 - Integers only: -43 - Rational only: 4/5 - Outside all sets: -8.09