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

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 rational or irrational. It depends on the specific numbers involved.Analyze Possible Outcomes: Analyze the possible outcomes for q - e. If q is specifically chosen to be equal to e, then q - e = e - e = 0, which is rational. If q is any irrational number not specifically related to e, then q - e is likely to be irrational, but without knowing the exact value of q, we cannot be certain.Conclude Statement: Conclude the statement about q - e. Since q - e can be rational (if q = e) or irrational (if q is not specifically related to e), the correct statement is that q - e can be rational or irrational, depending on the value of q.

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

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Math Problems

Algebra 2

Properties of operations on rational and irrational numbers

Full solution

Q. The number

q

is irrational.

e

is the base of the natural logarithm. Which statement about

q - e

is true?

\newline

Choices:

\newline

(A)

q - e

is rational.

\newline

(B)

q - e

is irrational.

\newline

(C)

q - e

can be rational or irrational, depending on the value of

q

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 rational or irrational. It depends on the specific numbers involved.
Analyze Possible Outcomes: Analyze the possible outcomes for $q - e$ . If $q$ is specifically chosen to be equal to $e$ , then $q - e = e - e = 0$ , which is rational. If $q$ is any irrational number not specifically related to $e$ , then $q - e$ is likely to be irrational, but without knowing the exact value of $q$ , we cannot be certain.
Conclude Statement: Conclude the statement about $q - e$ . Since $q - e$ can be rational (if $q = e$ ) or irrational (if $q$ is not specifically related to $e$ ), the correct statement is that $q - e$ can be rational or irrational, depending on the value of $q$ .