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 operation must be reversed when multiplying or dividing both sides of an inequality by a negative number?

Back

The inequality sign must be reversed.

Tags

CCSS.6.EE.B.8

Front

Back

Add 6 to both sides of the inequality.

Tags

CCSS.7.EE.B.4B

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Back

Subtract 10 from both sides, then multiply by -6 and reverse the inequality sign.

Tags

CCSS.7.EE.B.4B

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Back

Tags

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

What is the importance of the inequality sign in multistep inequalities?

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The inequality sign indicates the relationship between the two sides of the inequality and must be preserved or reversed correctly during solving.

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How do you isolate a variable in an inequality?

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By performing inverse operations (addition, subtraction, multiplication, division) to both sides of the inequality.

Tags

CCSS.6.EE.B.8

Front

What happens to the inequality sign when you divide both sides by a negative number?

Back

The inequality sign reverses direction.

Tags

CCSS.6.EE.B.8