SOLUTION: Determine the allowable values for the variable in the expression. Write your answer in interval notation (x+6)/(3x-27) Do you only solve for the denominator?

Algebra ->  Inequalities -> SOLUTION: Determine the allowable values for the variable in the expression. Write your answer in interval notation (x+6)/(3x-27) Do you only solve for the denominator?       Log On


   



Question 1007875: Determine the allowable values for the variable in the expression. Write your answer in interval notation
(x+6)/(3x-27)
Do you only solve for the denominator?

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
(x+6)/(3x-27)
Yes, only the values in the denominator need be considered.
Thus when 3x - 27 = 0, we have a disallowed value of x...
3x - 27 = 0
3x = 27
x = 9
In interval notation, we can write
(-inf, 9) or (9, inf)
as the allowable values.