The number c is irrational. Which statement about 5 - c is true? Choices: (A)5 - c is rational. (B)5 - c is irrational. (C)5 - c can be rational or irrational, depending on the value of c.

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The number c is irrational. Which statement about 5 - c is true?   Choices: (A)5 - c is rational. (B)5 - c is irrational. (C)5 - c can be rational or irrational, depending on the value of c.

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Identify Number 5: Identify the nature of the number 5. 5 is a rational number because it can be expressed as a fraction (5/1).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 between a rational and an irrational number. Subtracting an irrational number from a rational number typically results in an irrational number. This is because the difference between a rational and an irrational number cannot be expressed as a fraction of two integers.Exceptions to Typical Case: Consider exceptions to the typical case. If c were a specific irrational number such that when subtracted from 5, the result is a rational number, then 5 - c could be rational. However, since c is not specified and can be any irrational number, there is no guarantee that 5 - c will be rational.Values of c: Determine if there are any values of c that would make 5 - c rational. If c were 5, then 5 - c would be 0, which is rational. However, since c is irrational, c cannot be 5. Therefore, there are no values of c that would make 5 - c rational.Conclude Statement: Conclude the statement about 5 - c. Since there are no specific values of c given that would make 5 - c rational, and the typical operation between a rational and an irrational number results in an irrational number, the statement that 5 - c is irrational is true.

The number $c$ is irrational. Which statement about $5 - c$ is true? $\newline$ Choices: $\newline$ (A) $5 - c$ is rational. $\newline$ (B) $5 - c$ is irrational. $\newline$ (C) $5 - c$ 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 5−c 5 - c 5−c is true?\newlineChoices:\newline(A) 5−c 5 - c 5−c is rational.\newline(B) 5−c 5 - c 5−c is irrational.\newline(C) 5−c 5 - c 5−c can be rational or irrational, depending on the value of c c c.

The number $c$ is irrational. Which statement about $5 - c$ is true? $\newline$ Choices: $\newline$ (A) $5 - c$ is rational. $\newline$ (B) $5 - c$ is irrational. $\newline$ (C) $5 - c$ can be rational or irrational, depending on the value of $c$ .