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

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.Analyze Expression 4 - q: Analyze the expression 4 - q given that q is rational. Since 4 is rational and q is rational, their difference (4 - q) must also be rational.Conclusion: Conclude the nature of the expression 4 - q. Therefore, 4 - q is rational.

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The number $q$ is rational. Which statement about $4 - q$ is true? $\newline$ Choices: $\newline$ (A) $4 - q$ is rational. $\newline$ (B) $4 - q$ is irrational. $\newline$ (C) $4 - q$ 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 rational. Which statement about

4 - q

is true?

\newline

Choices:

\newline

(A)

4 - q

is rational.

\newline

(B)

4 - q

is irrational.

\newline

(C)

4 - q

can be rational or irrational, depending on the value of

q

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.
Analyze Expression $4 - q$ : Analyze the expression $4 - q$ given that $q$ is rational. $\newline$ Since $4$ is rational and $q$ is rational, their difference $(4 - q)$ must also be rational.
Conclusion: Conclude the nature of the expression $4 - q$ . $\newline$ Therefore, $4 - q$ is rational.