Final answer:
The value of integer n when 6n-2 is not a rational number is any odd integer.
Step-by-step explanation:
To determine the value of integer n when 6n-2 is NOT a rational number, we need to understand what makes a number rational. A rational number can be expressed as the quotient of two integers, where the denominator is not zero. However, if the expression 6n-2 is not divisible evenly by any integer other than 1 and itself, then it is not a rational number. So, we need to find values of n that satisfy this condition.
Let's assume 6n-2 is not divisible evenly by any integer other than 1 and itself. This means that the expression is not divisible evenly by 2. Hence, n must be an odd number.
Therefore, the value of integer n when 6n-2 is NOT a rational number is any odd integer.