describe the set of numbers that are real numbers, but cannot be expressed as one integer divided by another.

a. Improper.
b. Irrational.
c. Rational.
d. Negative.

b. Irrational.

Irrational numbers are real numbers that cannot be expressed as a ratio of two integers. Examples of irrational numbers include the square root of 2, pi, and the square root of 3. These numbers have decimal representations that are non-terminating and non-repeating.