The number u is rational. Which statement about 2 + u is true? Choices: (A)2 + u is rational. (B)2 + u is irrational. (C)2 + u can be rational or irrational, depending on the value of u.

Identify Number 2: Identify the nature of the number 2. 2 is an integer, and all integers are rational numbers.Sum Property of Rationals: Understand the property of the sum of two rational numbers. The sum of two rational numbers is always a rational number.Application to Given Numbers: Apply the property to the given numbers. Since u is rational and 2 is rational, their sum 2 + u must also be rational.

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The number $u$ is rational. Which statement about $2 + u$ is true? $\newline$ Choices: $\newline$ (A) $2 + u$ is rational. $\newline$ (B) $2 + u$ is irrational. $\newline$ (C) $2 + u$ can be rational or irrational, depending on the value of $u$ .

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

u

is rational. Which statement about

2 + u

is true?

\newline

Choices:

\newline

(A)

2 + u

is rational.

\newline

(B)

2 + u

is irrational.

\newline

(C)

2 + u

can be rational or irrational, depending on the value of

u

Identify Number $2$ : Identify the nature of the number $2$ . $2$ is an integer, and all integers are rational numbers.
Sum Property of Rationals: Understand the property of the sum of two rational numbers. The sum of two rational numbers is always a rational number.
Application to Given Numbers: Apply the property to the given numbers. $\newline$ Since $u$ is rational and $2$ is rational, their sum $2 + u$ must also be rational.