The number v is rational. Which statement about 10 + v is true? Choices: (A)10 + v is rational. (B)10 + v is irrational. (C)10 + v can be rational or irrational, depending on the value of v.

Question

The number v is rational. Which statement about 10 + v is true?   Choices: (A)10 + v is rational. (B)10 + v is irrational. (C)10 + v can be rational or irrational, depending on the value of v.

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Identify Number 10: Identify the nature of the number 10. 10 is an integer, which is also a rational number because it can be expressed as the ratio of two integers (10/1).Properties of Rational Numbers: Understand the properties of rational numbers. The sum of two rational numbers is always a rational number. This is because if you have two rational numbers, a/b and c/d, their sum (ad + bc) / (bd) is also a rational number since it can be expressed as the ratio of two integers.Apply Property to Numbers: Apply the property to the given numbers. Since v is a rational number and 10 is a rational number, their sum (10 + v) must also be a rational number according to the property of rational numbers.Conclude Correct Statement: Conclude the correct statement from the given choices. Based on the property that the sum of two rational numbers is rational, the statement about 10 + v being rational is true.

The number $v$ is rational. Which statement about $10 + v$ is true? $\newline$ Choices: $\newline$ (A) $10 + v$ is rational. $\newline$ (B) $10 + v$ is irrational. $\newline$ (C) $10 + v$ can be rational or irrational, depending on the value of $v$ .

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The number v v v is rational. Which statement about 10+v 10 + v 10+v is true?\newlineChoices:\newline(A) 10+v 10 + v 10+v is rational.\newline(B) 10+v 10 + v 10+v is irrational.\newline(C) 10+v 10 + v 10+v can be rational or irrational, depending on the value of v v v.

The number $v$ is rational. Which statement about $10 + v$ is true? $\newline$ Choices: $\newline$ (A) $10 + v$ is rational. $\newline$ (B) $10 + v$ is irrational. $\newline$ (C) $10 + v$ can be rational or irrational, depending on the value of $v$ .