The number t is irrational. Which statement about 9 - t is true? Choices: (A)9 - t is rational. (B)9 - t is irrational. (C)9 - t can be rational or irrational, depending on the value of t.

Identify Number Nature: Identify the nature of the number 9. 9 is a rational number because it can be expressed as a fraction (9/1).Subtract Rational and Irrational: Consider the subtraction of an irrational number t from a rational number 9. The difference between a rational number and an irrational number is always irrational.Apply Rule: Apply this rule to the given problem. Since 9 is rational and t is irrational, 9 - t must be irrational.

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The number $t$ is irrational. Which statement about $9 - t$ is true? $\newline$ Choices: $\newline$ (A) $9 - t$ is rational. $\newline$ (B) $9 - t$ is irrational. $\newline$ (C) $9 - t$ can be rational or irrational, depending on the value of $t$ .

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Math Problems

Algebra 2

Properties of operations on rational and irrational numbers

Full solution

Q. The number

t

is irrational. Which statement about

9 - t

is true?

\newline

Choices:

\newline

(A)

9 - t

is rational.

\newline

(B)

9 - t

is irrational.

\newline

(C)

9 - t

can be rational or irrational, depending on the value of

t

Identify Number Nature: Identify the nature of the number $9$ . $\newline$ $9$ is a rational number because it can be expressed as a fraction $\frac{9}{1}$ .
Subtract Rational and Irrational: Consider the subtraction of an irrational number $t$ from a rational number $9$ . The difference between a rational number and an irrational number is always irrational.
Apply Rule: Apply this rule to the given problem. $\newline$ Since $9$ is rational and $t$ is irrational, $9 - t$ must be irrational.