Solving One Variable and Linear Inequalities

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What is a linear inequality?

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A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

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CCSS.6.EE.B.8

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What happens to the inequality sign when you divide or multiply by a negative number?

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The inequality sign flips when you divide or multiply both sides of an inequality by a negative number.

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CCSS.6.EE.B.8

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The solution set includes all real numbers less than 2.

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CCSS.HSA.REI.D.12

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What is the difference between strict and non-strict inequalities?

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Strict inequalities (>, <) do not include the boundary point, while non-strict inequalities (≥, ≤) include the boundary point.

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CCSS.6.EE.B.8

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How do you check if a point is in the solution set of an inequality?

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Substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the solution set.

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CCSS.6.EE.B.8

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The graph has a dashed line at x = 2, shading to the right to indicate all values greater than 2.

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CCSS.6.EE.B.8

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CCSS.7.EE.B.4B