The number c is irrational. Which statement about 6 - c is true? Choices: (A)6 - c is rational. (B)6 - c is irrational. (C)6 - c can be rational or irrational, depending on the value of c.

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The number c is irrational. Which statement about 6 - c is true?   Choices: (A)6 - c is rational. (B)6 - c is irrational. (C)6 - c can be rational or irrational, depending on the value of c.

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Identify Number Nature: Identify the nature of the number 6. 6 is a rational number because it can be expressed as a fraction of two integers (6/1).Consider Number c: Consider the nature of the number c. c is given as an irrational number, which means it cannot be expressed as a fraction of two integers.Analyze Operation: Analyze the operation 6 - c. Subtracting an irrational number c from a rational number 6 could result in either a rational or an irrational number. However, if c is a specific irrational number such that when subtracted from 6 results in a rational number, then 6 - c can be rational. For example, if c is an irrational number such that c = 6 - a rational number, then 6 - c would be rational. Conversely, if c is not of this form, then 6 - c will be irrational.Determine Possible Outcomes: Determine the possible outcomes for 6 - c. If c is not specifically chosen to make 6 - c rational, then in general, subtracting an irrational number from a rational number will result in an irrational number. However, since there exists at least one case where c can be chosen such that 6 - c is rational, the correct statement must allow for both possibilities.

The number $c$ is irrational. Which statement about $6 - c$ is true? $\newline$ Choices: $\newline$ (A) $6 - c$ is rational. $\newline$ (B) $6 - c$ is irrational. $\newline$ (C) $6 - c$ can be rational or irrational, depending on the value of $c$ .

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The number c c c is irrational. Which statement about 6−c 6 - c 6−c is true?\newlineChoices:\newline(A) 6−c 6 - c 6−c is rational.\newline(B) 6−c 6 - c 6−c is irrational.\newline(C) 6−c 6 - c 6−c can be rational or irrational, depending on the value of c c c.

The number $c$ is irrational. Which statement about $6 - c$ is true? $\newline$ Choices: $\newline$ (A) $6 - c$ is rational. $\newline$ (B) $6 - c$ is irrational. $\newline$ (C) $6 - c$ can be rational or irrational, depending on the value of $c$ .