# What values of 'x' will be the solution to the inequality #15x - 2/x > 1#?

##### 1 Answer

The answer is

#### Explanation:

We start with the inequality

First step in solving such inequalities is to determine the domain. We can write that the domain is:

Next step in solving such (in)equalities is to move all terms to the left side leaving zero on the right side:

Now we should write all terms as fractions with comon denominator:

Now we have to find zeros of the numerator. To do this we have to calculate the determinant:

Now we have to sketch the function to find intervals where the values are greater than zero:

graph{x*(x+1/3)*(x-2/5) [-0.556, 0.556, -0.1, 0.1]}

From this graph we can clearly see the siolution: