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

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Q. The number ss is irrational. ee is the base of the natural logarithm. Which statement about s−es - e is true?\newlineChoices:\newline(A) s−es - e is rational.\newline(B) s−es - e is irrational.\newline(C) s−es - e can be rational or irrational, depending on the value of ss.
  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. 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 Given Choices: Analyze the given choices in relation to the properties of irrational numbers.\newlineIf s=es = e, then s−e=0s - e = 0, which is rational.\newlineIf ss is any irrational number different from ee, then s−es - e is not guaranteed to be rational; it could be irrational.\newlineTherefore, s−es - e can be rational or irrational, depending on the value of ss.

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