Solving Two Step Inequalities

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What is a two-step inequality?

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A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

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CCSS.6.EE.B.8

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CCSS.7.EE.B.4B

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What does it mean when an inequality has an open circle on a number line?

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CCSS.6.EE.B.8

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CCSS.6.EE.B.8

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CCSS.7.EE.B.4B

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An open circle is used because 6 is not included in the solution.

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CCSS.6.EE.B.8

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CCSS.7.EE.B.4B

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What is the difference between a filled-in dot and an open circle on a graph?

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CCSS.6.EE.B.8

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What is the first step in solving a two-step inequality?

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The first step is usually to isolate the term with the variable by adding or subtracting a constant from both sides.

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CCSS.7.EE.B.4B

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

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

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CCSS.6.EE.B.8