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.

Question

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.

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Identify Number 4: Identify the nature of the number 4. 4 is an integer, and all integers are rational numbers because they can be expressed as a ratio of integers (for example, 4 can be written as 4/1).Consider Number q: Consider the nature of the number q. Since q is given as a rational number, it can be expressed as a ratio of two integers, where the denominator is not zero.Analyze Sum of Rationals: Analyze the sum of two rational numbers. The sum of two rational numbers is always rational. This is because if you have two rational numbers, a/b and c/d, their sum is (ad + bc) / bd, which is also a ratio of two integers (assuming b and d are not zero).Apply Property to 4 + q: Apply the property to 4 + q. Since 4 (which is rational) and q (which is rational) are being added, their sum 4 + q must also be rational according to the property of rational numbers.

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