Questions: Build a Venn diagram. - Use the names of the sets to label the regions. - Place the numbers in the correct regions.

Transcript text: Build a Venn diagram. - Use the names of the sets to label the regions. - Place the numbers in the correct regions.

Solution

Solution Steps

Step 1: Identify the sets and their relationships

We have three sets: Whole numbers, Integers, and Rational numbers. Whole numbers are a subset of Integers, which are a subset of Rational numbers. This means the Whole number circle should be entirely inside the Integers circle, which should be entirely inside the Rational numbers circle.

Step 2: Place the numbers in their correct regions

Whole Numbers: 0, 7 are whole numbers (non-negative integers). Place them inside the innermost circle.
Integers: -6 is an integer but not a whole number. Place it in the Integers circle, but outside the Whole numbers circle.
Rational Numbers: 2.45, -7/4, and 6.9 are rational numbers but not integers. Place them in the Rational numbers circle, but outside the Integers circle.

Final Answer:

The Venn diagram should have three concentric circles. The innermost circle is labeled "Whole numbers" and contains 0 and 7. The middle circle is labeled "Integers" and contains -6 in the area outside the Whole numbers circle. The outermost circle is labeled "Rational numbers" and contains 2.45, -7/4 (or -1.75) and 6.9 in the area outside the Integers circle.

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