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

Identify Number Nature: Identify the nature of the number 4. 4 is a rational number because it can be expressed as a fraction (4/1).Consider Number Sum: Consider the sum of an irrational number and a rational number. The sum of an irrational number (s) and a rational number (4) is always irrational.Determine Truth: Determine the truth of the given statements based on the previous step. Since s is irrational and 4 is rational, their sum s + 4 is irrational. Therefore, the correct statement is that s + 4 is irrational.

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

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Math Problems

Algebra 2

Properties of operations on rational and irrational numbers

Full solution

Q. The number

s

is irrational. Which statement about

s + 4

is true?

\newline

Choices:

\newline

(A)

s + 4

is rational.

\newline

(B)

s + 4

is irrational.

\newline

(C)

s + 4

can be rational or irrational, depending on the value of

s

Identify Number Nature: Identify the nature of the number $4$ . $4$ is a rational number because it can be expressed as a fraction ( $\frac{4}{1}$ ).
Consider Number Sum: Consider the sum of an irrational number and a rational number. $\newline$ The sum of an irrational number $s$ and a rational number $4$ is always irrational.
Determine Truth: Determine the truth of the given statements based on the previous step. $\newline$ Since $s$ is irrational and $4$ is rational, their sum $s + 4$ is irrational. Therefore, the correct statement is that $s + 4$ is irrational.