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

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Full solution

Q. The number z z is irrational. Which statement about 5−z 5 - z is true?\newlineChoices:\newline(A) 5−z 5 - z is rational.\newline(B) 5−z 5 - z is irrational.\newline(C) 5−z 5 - z can be rational or irrational, depending on the value of z z .
  1. Identify Number Type: Identify whether the number 55 is a rational or irrational number.55 is a whole number, and all whole numbers are rational numbers.
  2. Consider Properties: Consider the properties of rational and irrational numbers. The difference between a rational number and an irrational number is always irrational.
  3. Apply Property: Apply the property to the given problem.\newlineSince 55 is rational and zz is irrational, 5−z5 - z must be irrational.

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