The number q is irrational. Which statement about 6 - q is true? Choices: (A)6 - q is rational. (B)6 - q is irrational. (C)6 - q can be rational or irrational, depending on the value of q.

Identify Number Type: Identify whether the number 6 is a rational or irrational number. 6 is a whole number, and all whole numbers are rational numbers.Consider Number Properties: Consider the properties of rational and irrational numbers. The difference between a rational number and an irrational number is always irrational.Apply Properties: Apply the properties to the given problem. Since 6 is rational and q is irrational, 6 - q must be irrational.

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The number $q$ is irrational. Which statement about $6 - q$ is true? $\newline$ Choices: $\newline$ (A) $6 - q$ is rational. $\newline$ (B) $6 - q$ is irrational. $\newline$ (C) $6 - q$ can be rational or irrational, depending on the value of $q$ .

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

q

is irrational. Which statement about

6 - q

is true?

\newline

Choices:

\newline

(A)

6 - q

is rational.

\newline

(B)

6 - q

is irrational.

\newline

(C)

6 - q

can be rational or irrational, depending on the value of

q

Identify Number Type: Identify whether the number $6$ is a rational or irrational number. $6$ is a whole number, and all whole numbers are rational numbers.
Consider Number Properties: Consider the properties of rational and irrational numbers. The difference between a rational number and an irrational number is always irrational.
Apply Properties: Apply the properties to the given problem. $\newline$ Since $6$ is rational and $q$ is irrational, $6 - q$ must be irrational.