How many methods are there to solve quadratic inequalities in standard form: ax^2 + bx +c > 0 (or < 0)?

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There are two primary ways to solve quadratic inequalites:

(1) Graph the function and see on what intervals the graph lies above or below the x-axis.

(2) Find the zeros of the function. These divide the domain into at most 3 regions -- check an x-value from each region to...

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There are two primary ways to solve quadratic inequalites:

(1) Graph the function and see on what intervals the graph lies above or below the x-axis.

(2) Find the zeros of the function. These divide the domain into at most 3 regions -- check an x-value from each region to determine the sign of y. (If the function is always above or below the x-axis, then there are no zeros. If there is exactly 1 zero then the rest of the function is above (or below) the x-axis.)

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