Multi-Step Inequalities and Variables on Both Sides

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What is a multi-step inequality?

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A multi-step 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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How do you solve an inequality with variables on both sides?

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To solve an inequality with variables on both sides, first, move all variable terms to one side and constant terms to the other side, then isolate the variable.

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What does it mean when we say 'x < 3'?

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It means that the value of x is less than 3, indicating all numbers less than 3 are solutions.

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How do you check if your solution to an inequality is correct?

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

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What does the symbol '≤' mean in an inequality?

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The symbol '≤' means 'less than or equal to', indicating that the value can be either less than or exactly equal to the number.

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What is the importance of reversing the inequality sign?

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The inequality sign must be reversed when multiplying or dividing both sides by a negative number.

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What does it mean when we say 'x > 4'?

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It means that the value of x is greater than 4, indicating all numbers greater than 4 are solutions.