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The number uu is rational. Which statement about 2u2 - u is true?\newlineChoices:\newline(A)2u2 - u is rational.\newline(B)2u2 - u is irrational.\newline(C)2u2 - u can be rational or irrational, depending on the value of uu.

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Q. The number uu is rational. Which statement about 2u2 - u is true?\newlineChoices:\newline(A)2u2 - u is rational.\newline(B)2u2 - u is irrational.\newline(C)2u2 - u can be rational or irrational, depending on the value of uu.
  1. Identify Number 22: Identify the nature of the number 22. 22 is a rational number because it can be expressed as a fraction (2/12/1).
  2. Consider Number uu: Consider the nature of the number uu. Since uu is given as a rational number, it can be expressed as a fraction ab\frac{a}{b}, where aa and bb are integers and bb is not zero.
  3. Analyze Operation: Analyze the operation 2u2 - u. Subtracting a rational number uu from another rational number 22 will result in a rational number, because the set of rational numbers is closed under subtraction.
  4. Conclude Result: Conclude the nature of 2u2 - u. Since both 22 and uu are rational, their difference 2u2 - u is also rational.

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