If you want to be more comfort you should multiply 10 at both sides of equation first.
Now you should put everything in one side.
Here, i choose factoring for solving the inequality:
You should first find the answer for being 0 and then examine upper and lower of that numbers.
4x=-1
x=-1/4
4x=-2
x=-1/2
IN first case if x will be less than -1/4 the equation will be less than 0 and if x will be more than -1/4 the equation will be more than 0.
In second case if x will be less than -1/2 the equation will be negative and if x will be more than it, the equation will be positive.
So the only zone that the equation is negative is between -1/4 and -1/2.
So the answer is: -1/2=<x=<-1/4