Whole numbers are rational, not irrational. They lack decimal parts and fit within the set of rational numbers, making the statement "All whole numbers are irrational" false.
The statement that is not true is "All whole numbers are irrational numbers."
The Venn diagram shows that all whole numbers are also rational numbers. This means that there is no overlap between the circle labeled "Whole Numbers" and the circle labeled "Irrational Numbers."
Here's a breakdown of the relationships shown in the Venn diagram:
* Real Numbers: This is the outermost circle and represents all real numbers, including rational and irrational numbers.
* Rational Numbers:This circle is inside the "Real Numbers" circle and represents numbers that can be expressed as a fraction where the numerator and denominator are integers.
* Integers: This circle is inside the "Rational Numbers" circle and represents whole numbers (positive and negative) and zero.
* Whole Numbers: This circle is the smallest circle and represents positive integers (0, 1, 2, 3, etc.).
Therefore, the statement "All whole numbers are irrational numbers" is incorrect because all whole numbers are also rational numbers.