posted by Mike .
Solve the polynomial equation and graphy it on a number line. Express the solution set and interval notation. and which brackets to use either () or 
15X^2 < 14x + 1
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