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Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.

The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "<", the line is broken, which indicates any number falling on the line cannot be a solution. When graphing ">=" or "<=", the line is solid, which indicates that all numbers on the line are solutions in addition to the shaded region.

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Q: Why is a linear equation shaded?
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