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

Full solution

Q. The number d d is irrational. Which statement about 6d 6 - d is true?\newlineChoices:\newline(A) 6d 6 - d is rational.\newline(B) 6d 6 - d is irrational.\newline(C) 6d 6 - d can be rational or irrational, depending on the value of d d .
  1. Identify Number Type: Identify whether the number 66 is a rational or irrational number.66 is a whole number, and all whole numbers are rational numbers.
  2. Consider Number 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 66 is rational and dd is irrational, 6d6 - d must be irrational.

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