Solving Inequalities with Negative Coefficients

The video tutorial explains how to solve inequalities involving negative coefficients. It highlights common mistakes, such as failing to switch the inequality sign when dividing by a negative number. The tutorial uses examples to demonstrate different ways to express inequality statements and solve linear inequalities. It also analyzes a specific mistake made by a student named Cadence, explaining why the inequality sign must be switched to obtain the correct solution. The lesson emphasizes the importance of understanding the rules of multiplication and division with negative numbers in the context of inequalities.

How can inequality statements be expressed in different ways while maintaining the same meaning?

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What is the correct inequality sign when solving the inequality -3X > 12 after dividing both sides by -3?

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What is the result of substituting X = -10 into the inequality X < -4?

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What went wrong with Cadence's work when solving the inequality 5 - 3X > 17?

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Explain why the inequality sign must be switched when dividing by a negative number.

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