SOLUTION: (3x-5)/(x) >0 . Hint: Either both the numerator and the denominator are positive, or both are negative; consider both cases. . My attempt: . (3x-5)/(x) >0 (x)/(1) (3x-5)/(x)

Algebra ->  Inequalities -> SOLUTION: (3x-5)/(x) >0 . Hint: Either both the numerator and the denominator are positive, or both are negative; consider both cases. . My attempt: . (3x-5)/(x) >0 (x)/(1) (3x-5)/(x)      Log On


   



Question 950319: (3x-5)/(x) >0
.
Hint: Either both the numerator and the denominator are positive, or both are negative; consider both cases.
.
My attempt:
.
(3x-5)/(x) >0
(x)/(1) (3x-5)/(x)=0(x)
3x-5=0
3x=5
3x/3=5/3
x=5/3
.
x>5/3
.
interval notation
-2<-----0 5/3------5
.
Can someone check this for me? Thanks in advance.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
OK, I'm not sure about your interval notation.
The first part of the answer is correct.
x%3E5%2F3
In interval notation that would be (5%2F3,infinity).
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.
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You also have to consider the case where both numerator and denominator are negative.
x%3C0
Then,
3x-5%3C0
3x%3C5
x%3C5%2F3
Both conditions have the hold simultaneously so, putting those together gives you x%3C0
So the final answer in interval notation would be,
(-infinity,0)U(5%2F3,infinity)