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

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Q. The number yy is irrational. ee is the base of the natural logarithm. Which statement about yey - e is true?\newlineChoices:\newline(A) yey - e is rational.\newline(B) yey - e is irrational.\newline(C) yey - e can be rational or irrational, depending on the value of yy.
  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 yey - e: Analyze the possible outcomes for yey - e.\newlineIf y=ey = e, then ye=ee=0y - e = e - e = 0, which is rational.\newlineIf yy is any irrational number different from ee, then yey - e is not guaranteed to be rational; it could be irrational.\newlineTherefore, yey - e can be rational or irrational, depending on the value of yy.

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