If R Is the Set of Real Numbers, Q Is $$0 . \overline { 7 } x = 8$$

question 49

Multiple Choice

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s) for which a solution to the given equation exists. If a solution to the given equation does not belong to any set, state none.
- $$0 . \overline { 7 } x = 8$$

• A) I, Q, R
• B) \(N , I , Q , R\)
• C) \(S , R\)
• D) \(Q , R\)

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Definitions:

Cancellation

In mathematics, the process of simplifying expressions by eliminating factors or terms that are common to both the numerator and the denominator.

Add

The mathematical operation of combining two or more quantities to get a total sum.

Fractions

A mathematical expression representing the division of one quantity by another, denoting parts of a whole.

Arabic Numerals

The numeral system of digits used globally (0, 1, 2, 3, etc.), originating from the Arabic-speaking world and now common in most countries.