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Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.

Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.

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Q: When doing algebra how do you know what region to shade?
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