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.

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How do you isolate a variable in a multistep inequality?

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To isolate a variable, perform inverse operations on both sides of the inequality, ensuring to reverse the inequality sign when multiplying or dividing by a negative number.

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What does it mean when an inequality has 'no solution'?

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An inequality has 'no solution' when there are no values that satisfy the inequality, often resulting from contradictory statements.

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No solution.

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No solution.

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Distribute the 6 to both terms inside the parentheses.

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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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What does it mean for an inequality to be 'true for all real numbers'?

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It means that any real number can be substituted into the inequality, and the statement will hold true.