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SteelBranch
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MarkGMATMentor
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MarkGMATMentor

Hi SteelBranch,

While not common, quadratic inequalities do sometimes show up on the Quant section of the GMAT. So though it's not a top priority, you should be able to solve quadratic inequalities, just like you should be able to solve quadratic equations.

The main thing to remember is that solving both factors in a quadratic equation gives you solutions, but in a quadratic inequality, it gives you boundary points.

For example, if x^2 - x - 6 > 0, what are the possible values of x?

(x - 3)(x + 2) > 0 Factor the quadratic as you would with an equation.

The boundary points are at x = 3 and x = -2. Since this is a "greater than" inequality, the solutions are on the "outside": x > 3 or x < -2.

Hope that helps!
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