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If something says "greater than" or "less than" some function, then you will have a dotted or dashed line. The appropriate side of the line is shaded or hashed. If it says "greater than or equal" or "less than or equal", then you use a solid line. Then shade the appropriate side.

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When a point arbitrarily close to the boundary point belongs to the solution set but the point itself does not.

Consider the equation 2x - 3 < 0

This is equivalent to x < 1.5

ow any number up to but not including 1.5 belongs to the solution set: for example, 1.4, 1.49, 1.4999999, and so on. But 1.5 does not.

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