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

Identify Number Type: 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.Rational vs. Irrational: We know: y is a rational number. e is an irrational number. Which statement about y - e is true? If y is a rational number and e is an irrational number, then their difference y - e is always an irrational number. This is because the difference between a rational and an irrational number is always irrational.True Statement: Therefore, the correct statement about y - e is that y - e is irrational.

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

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Math Problems

Algebra 2

Properties of operations on rational and irrational numbers

Full solution

Q. The number

y

is rational.

e

is the base of the natural logarithm. Which statement about

y - e

is true?

\newline

Choices:

\newline

(A)

y - e

is rational.

\newline

(B)

y - e

is irrational.

\newline

(C)

y - e

can be rational or irrational, depending on the value of

y

Identify Number Type: 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.
Rational vs. Irrational: We know: $\newline$ $y$ is a rational number. $\newline$ $e$ is an irrational number. $\newline$ Which statement about $y - e$ is true? $\newline$ If $y$ is a rational number and $e$ is an irrational number, then their difference $y - e$ is always an irrational number. This is because the difference between a rational and an irrational number is always irrational.
True Statement: Therefore, the correct statement about $y - e$ is that $y - e$ is irrational.