Posted by ddd on .
solve inequalite place in interval notation
4x/x6<=0

algebra 
MathMate,
f(x)=(4x)/(x6)
First make a sketch of the equation (equality).
As x > ± &infin, f(x) approaches 1.
There is also a vertical asymptote at x=6, approaching +∞ at 6 and ∞ at 6+. Therefore the function is discontinuous at that point.
The one zero is at x=4, where the function crosses from negative to positive.
If you have the sketch in front of you, it would be easy to find the places where the function is negative (≤0):
from ∞ to 4, and from 6+ to ∞.
If you need help putting that in interval notation, please post.