Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.

Question

Left-brace negative 15, negative 5, negative one-half, 0, 2, 16 Right-brace

Which is the best way to explain why Iliana is correct?
Iliana is correct because Henry included negative numbers. Negative numbers are not integers.
Iliana is correct because Henry included a fraction. Fractions are not integers.
Iliana is correct because Henry included zero. Zero is not an integer.
Iliana is correct because Henry included a positive number. Positive numbers are not integers.

Answer 1

The best way to explain why Iliana is correct is:

Iliana is correct because Henry included a fraction. Fractions are not integers.

The set of numbers Henry provided includes \(-\frac{1}{2}\), which is a fraction, and therefore the set does not consist solely of integers. Thus, Iliana is correct in arguing that Henry's set does not include all integers.