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

Identify Type of Number: Identify whether e is a rational or irrational number. e is the base of the natural logarithm and is known to be an irrational number.Properties of Irrational Numbers: Consider the properties of irrational numbers. The difference between two irrational numbers can be either rational or irrational. It depends on the specific values of the numbers.Analyze Given Choices: Analyze the given choices in relation to the properties of irrational numbers. If s = e, then s - e = 0, which is rational. If s is any irrational number different from e, then s - e is not guaranteed to be rational; it could be irrational. Therefore, s - e can be rational or irrational, depending on the value of s.

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The number $s$ is irrational. $e$ is the base of the natural logarithm. Which statement about $s - e$ is true? $\newline$ Choices: $\newline$ (A) $s - e$ is rational. $\newline$ (B) $s - e$ is irrational. $\newline$ (C) $s - e$ 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.

e

is the base of the natural logarithm. Which statement about

s - e

is true?

\newline

Choices:

\newline

(A)

s - e

is rational.

\newline

(B)

s - e

is irrational.

\newline

(C)

s - e

can be rational or irrational, depending on the value of

s

Identify Type of Number: Identify whether $e$ is a rational or irrational number. $e$ is the base of the natural logarithm and is known to be an irrational number.
Properties of Irrational Numbers: Consider the properties of irrational numbers. The difference between two irrational numbers can be either rational or irrational. It depends on the specific values of the numbers.
Analyze Given Choices: Analyze the given choices in relation to the properties of irrational numbers. $\newline$ If $s = e$ , then $s - e = 0$ , which is rational. $\newline$ If $s$ is any irrational number different from $e$ , then $s - e$ is not guaranteed to be rational; it could be irrational. $\newline$ Therefore, $s - e$ can be rational or irrational, depending on the value of $s$ .