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

Identify Type of e: 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 c - e: Analyze the possible outcomes for c - e. If c = e, then c - e = e - e = 0, which is rational. If c is any irrational number different from e, then c - e is not guaranteed to be rational; it could be irrational. Therefore, c - e can be rational or irrational, depending on the value of c.

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

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Math Problems

Algebra 2

Properties of operations on rational and irrational numbers

Full solution

Q. The number

c

is irrational.

e

is the base of the natural logarithm. Which statement about

c - e

is true?

\newline

Choices:

\newline

(A)

c - e

is rational.

\newline

(B)

c - e

is irrational.

\newline

(C)

c - e

can be rational or irrational, depending on the value of

c

Identify Type of $e$ : Identify whether $e$ is a rational or irrational number. $\newline$ $e$ 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 $c - e$ : Analyze the possible outcomes for $c - e$ . If $c = e$ , then $c - e = e - e = 0$ , which is rational. If $c$ is any irrational number different from $e$ , then $c - e$ is not guaranteed to be rational; it could be irrational. Therefore, $c - e$ can be rational or irrational, depending on the value of $c$ .