Question

Select all of the following sets in which the number 7/6 is an element. .

A. real numbers
B. whole numbers
C. natural numbers
D. rational numbers
E. irrational numbers
F. integers

Answer 1

The number 7/6 belongs to the sets of real numbers and rational numbers; it isn't an element of whole numbers, natural numbers, integers, or irrational numbers. The sets that include 7/6 are real numbers and rational numbers. It is not a whole number, natural number, integer, or irrational number.

Step-by-step explanation:

The number 7/6 is an element of the following sets:

• Real numbers: All rational and irrational numbers.
• Rational numbers: Numbers that can be expressed as the quotient of two integers, where the denominator is not zero.

It is not an element of:

• Whole numbers: These are the numbers 0, 1, 2, 3, ... without any fractions or decimals.
• Natural numbers: These are the counting numbers 1, 2, 3, ... without any fractions, decimals, or zero.
• Integers: These are whole numbers including the negatives (-1, -2, -3, ...) and without any fractions or decimals.
• Irrational numbers: Numbers that cannot be expressed as the quotient of two integers, such as \(\sqrt{2}\) or \(\pi\).

Therefore, the sets that include 7/6 are real numbers and rational numbers. It is not a whole number, natural number, integer, or irrational number.