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

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Q. The number cc is irrational. ee is the base of the natural logarithm. Which statement about c−ec - e is true?\newlineChoices:\newline(A) c−ec - e is rational.\newline(B) c−ec - e is irrational.\newline(C) c−ec - e can be rational or irrational, depending on the value of cc.
  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 values of the numbers.
  3. Analyze c−ec - e: Analyze the possible outcomes for c−ec - e. If c=ec = e, then c−e=e−e=0c - e = e - e = 0, which is rational. If cc is any irrational number different from ee, then c−ec - e is not guaranteed to be rational; it could be irrational. Therefore, c−ec - e can be rational or irrational, depending on the value of cc.

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