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

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Q. The number pp is irrational. ee is the base of the natural logarithm. Which statement about p−ep - e is true?\newlineChoices:\newline(A) p−ep - e is rational.\newline(B) p−ep - e is irrational.\newline(C) p−ep - e can be rational or irrational, depending on the value of pp.
  1. Identify Type of ee: Identify whether ee is a rational or irrational number.\newlineee is the base of the natural logarithm and is known to be an irrational number.
  2. Properties of Irrational Numbers: Consider the properties of irrational numbers. The difference between two irrational numbers can be either rational or irrational. It depends on the specific numbers involved.
  3. Analyze p−ep - e: Analyze the possible outcomes for p−ep - e. If p=ep = e, then p−e=e−e=0p - e = e - e = 0, which is rational. If pp is any irrational number different from ee, then p−ep - e is not guaranteed to be rational; it could be irrational. Therefore, p−ep - e can be rational or irrational, depending on the value of pp.

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