Question

statement
some irrational numbers are whole numbers.
all whole numbers are rational numbers.
no integers are irrational numbers.
all integers are rational numbers.
true
false

Explanation:

• Irrational numbers cannot be whole numbers (whole numbers are rational).
• Whole numbers are integers, hence can be written as fractions (e.g., $5 = \frac{5}{1}$).
• Integers are rational, so none are irrational.
• Integers can be expressed as fractions (e.g., $-3 = \frac{-3}{1}$), so all are rational.

Answer:

Some irrational numbers are whole numbers: False
All whole numbers are rational numbers: True
No integers are irrational numbers: True
All integers are rational numbers: True