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

Full solution

Q. The number rr is rational. ee is the base of the natural logarithm. Which statement about rer - e is true?\newlineChoices:\newline(A) rer - e is rational.\newline(B) rer - e is irrational.\newline(C) rer - e can be rational or irrational, depending on the value of rr.
  1. Identify Type of Number: Identify whether ee is a rational or irrational number.ee is the base of the natural logarithm and is known to be an irrational number.
  2. Consider Number Properties: Consider the properties of rational and irrational numbers. A rational number minus an irrational number is always an irrational number.
  3. Apply Properties to Problem: Apply the properties to the given problem.\newlineSince rr is rational and ee is irrational, rer - e will always be an irrational number.

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