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 combining like terms, distributing, and isolating the variable.

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CCSS.7.EE.B.4B

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What is the first step in solving a multistep inequality?

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The first step is to simplify both sides of the inequality, which may involve combining like terms or distributing.

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

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When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

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CCSS.6.EE.B.8

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The solution set includes all real numbers less than -5.

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CCSS.6.EE.B.8

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What does it mean if an inequality has no solution?

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An inequality has no solution if there are no values that satisfy the inequality, often resulting in a contradiction.

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How can you check your solution to an inequality?

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You can check your solution by substituting a value from the solution set back into the original inequality to see if it holds true.

Tags

CCSS.6.EE.B.8