Solving multistep inequalities

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What is a multistep inequality?

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A multistep inequality is an inequality that requires more than one step to solve, often involving multiple operations such as addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

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Add 6 to both sides of the inequality.

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CCSS.7.EE.B.4B

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Addition, then division.

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CCSS.7.EE.B.4B

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Add 12, then divide by -3, then reverse the inequality sign.

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CCSS.7.EE.B.4B

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First, add 8 to both sides, then divide by -6, and reverse the inequality sign.

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CCSS.7.EE.B.4B

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CCSS.7.EE.B.4B

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What does it mean to reverse the inequality sign?

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Reversing the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Tags

CCSS.6.EE.B.8

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CCSS.7.EE.B.4B

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How do you isolate the variable in an inequality?

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You perform inverse operations to get the variable by itself on one side of the inequality.

Tags

CCSS.6.EE.B.8

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What is the difference between a strict inequality and a non-strict inequality?

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A strict inequality (e.g., < or >) does not include the boundary point, while a non-strict inequality (e.g., ≤ or ≥) does include the boundary point.

Tags

CCSS.6.EE.B.8