Answer :
Option A, B, D, E, and F. 175 is an element of rational numbers, natural numbers, real numbers, whole numbers, and integers.
To determine which sets include the number 175, let's review each set:
A. Rational numbers: Yes, because 175 can be written as a fraction (175/1).
B. Natural numbers: Yes, because 175 is a positive whole number.
C. Irrational numbers: No, because 175 can be expressed as a fraction.
D. Real numbers: Yes, because 175 is a common real number.
E. Whole numbers: Yes, whole numbers include all natural numbers and zero.
F. Integers: Yes, because integers include both positive and negative whole numbers.
Therefore, the sets that contain the number 175 are A, B, D, E, and F.
