Question 34

For what range of values of 'x', will be the inequality $$15x - \left(\frac{2}{x}\right) > 1$$?

Solution

We have 
$$15x-\frac{2}{x}>1$$
 $$15x^2-2>x$$
$$15x^2-x-2>0$$
$$15x^2-6x+5x-2>0$$
(3x+1)(5x-2)>0
we get x>2/5 or x<-1/3 


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