You need to first solve the related equation to find the x-intercepts of the graph. If your leading coefficient (or a) is positive then sketch a parabola opening upward and crossing through the two points you just found. If a is negative, then do the same with a downward opening parabola. Now look back to your original inequality and make it so that one side of the inequality is zero. If your function is greater than (or equal to) zero, then you look at what part of the function contains positive y values (or where it is above the x-axis). If the function is less than (or equal to) zero, then look at where the graph is below the x-axis. If the part you're looking at contains the function's vertex, then you have an "and" statement with x between your two intercepts. If the part you're looking at contains the ends of the function's graph, then you have an "or" statement with x less (or equal to) your leftmost intercept "or" x greater than (or equal to) your rightmost intercept.
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