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 operations such as addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

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Add 12 to both sides to isolate the term with the variable.

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CCSS.7.EE.B.4B

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What do you do when you multiply or divide both sides of an inequality by a negative number?

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You must reverse the inequality sign.

Tags

CCSS.6.EE.B.8

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Back

First, add 6 to both sides, then divide by 9.

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

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Subtract 9 from both sides, then multiply both sides by -\frac{5}{4} and reverse the inequality sign.

Tags

CCSS.7.EE.B.4B

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What is the correct order of operations when solving inequalities?

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Follow the same order of operations as with equations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Tags

CCSS.6.EE.B.8

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What happens to the inequality sign when you add or subtract the same number from both sides?

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The inequality sign remains the same.

Tags

CCSS.6.EE.B.8

Front

Back

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CCSS.7.EE.B.4B