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The number q q is rational. Which statement about q+8 q + 8 is true?\newlineChoices:\newline(A) q+8 q + 8 is rational.\newline(B) q+8 q + 8 is irrational.\newline(C) q+8 q + 8 can be rational or irrational, depending on the value of q q .

Full solution

Q. The number q q is rational. Which statement about q+8 q + 8 is true?\newlineChoices:\newline(A) q+8 q + 8 is rational.\newline(B) q+8 q + 8 is irrational.\newline(C) q+8 q + 8 can be rational or irrational, depending on the value of q q .
  1. Identify Number 88: Identify the nature of the number 88. 88 is an integer, and all integers are rational numbers.
  2. Properties of Rational Numbers: Understand the properties of rational numbers. The sum of two rational numbers is always a rational number.
  3. Analyze Sum q+8q + 8: Analyze the sum q+8q + 8.\newlineSince qq is rational and 88 is rational, their sum q+8q + 8 must also be rational.

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