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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Back

Subtract 20 from both sides of the inequality.

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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 reverses direction.

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CCSS.6.EE.B.8

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Back

Add 6 to both sides, then divide by 9.

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CCSS.7.EE.B.4B

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Add 12 to both sides, then divide by -3, reversing the inequality sign.

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CCSS.7.EE.B.4B

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What is the importance of reversing the inequality sign?

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Reversing the inequality sign is crucial when multiplying or dividing both sides of an inequality by a negative number.

Tags

CCSS.6.EE.B.8

Front

Back

Subtract 9 from both sides.

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CCSS.7.EE.B.4B

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What does it mean to 'undo' an operation in solving inequalities?

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To 'undo' an operation means to perform the inverse operation to isolate the variable.

Tags

CCSS.6.EE.B.8

Front

Back

Subtract 10 from both sides.

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CCSS.7.EE.B.4B

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Back

Add 8 to both sides, then divide by 4.

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CCSS.7.EE.B.4B