The number d is rational. Which statement about 4 - d is true? Choices: (A)4 - d is rational. (B)4 - d is irrational. (C)4 - d can be rational or irrational, depending on the value of d.

Identify Number 4: Identify the nature of the number 4. 4 is an integer, and all integers are rational numbers.Properties of Rational Numbers: Understand the properties of rational numbers. The difference between two rational numbers is always a rational number.Apply Property to Expression: Apply the property to the given expression. Since d is rational and 4 is rational, their difference (4 - d) must also be rational.Conclusion: Conclude the nature of the expression based on the previous steps. Therefore, 4 - d is rational.

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The number $d$ is rational. Which statement about $4 - d$ is true? $\newline$ Choices: $\newline$ (A) $4 - d$ is rational. $\newline$ (B) $4 - d$ is irrational. $\newline$ (C) $4 - d$ can be rational or irrational, depending on the value of $d$ .

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

d

is rational. Which statement about

4 - d

is true?

\newline

Choices:

\newline

(A)

4 - d

is rational.

\newline

(B)

4 - d

is irrational.

\newline

(C)

4 - d

can be rational or irrational, depending on the value of

d

Identify Number $4$ : Identify the nature of the number $4$ . $4$ is an integer, and all integers are rational numbers.
Properties of Rational Numbers: Understand the properties of rational numbers. The difference between two rational numbers is always a rational number.
Apply Property to Expression: Apply the property to the given expression. $\newline$ Since $d$ is rational and $4$ is rational, their difference $(4 - d)$ must also be rational.
Conclusion: Conclude the nature of the expression based on the previous steps. $\newline$ Therefore, $4 - d$ is rational.