SOLUTION: |2x÷5-14÷30+x÷15|> 0

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Question 894354: |2x÷5-14÷30+x÷15|> 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28%28%282%2F5%29x-14%29%2F%2815x%2B30%29%29%3E0
Since the left hand side is the absolute value function, it's value will always be greater than or equal to zero.
So all x make this true except when the numerator is zero.
%282%2F5%29x-14=0
%282%2F5%29x=14
x=35
In addition, since division by zero is not defined, the value of x when the denominator equals zero is also excluded from the domain.
15x%2B30=0
15x=-30
x=-2
So the solution region is,
(-infinity,-2)U(-2,35)U(35,infinity)