Posted by Mike on Friday, October 19, 2007 at 6:54pm.
This is an inequation, not an equation.
take everything to one side
15x^2 - 14x - 1 < 0, it factors
(15x+1)(x-1) < 0
If this had been the equation
y = (15x+1)(x-1) it would have been a parabola opening upwards with x-intercepts of -1/15 and 1
Between those two values the graph would have been below the x-axis
so the solution set is -1/5 < x < 1
so the solution set is -1/15 < x < 1
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