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Question

When you multiply or divide each side of an inequality by the same negative number, you must reverse the direction of the inequality symbol. Explain why?


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Solution

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  • When you multiply or divide each side of an inequality by the same negative number, you must reverse the direction of the inequality symbol.
  • It is because, by multiplying or dividing with the negative number the sign of the numbers changed.
  • So, to satisfy the condition of inequality, direction of inequality should also be reversed.

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Solving Inequalities by Multiplication and Division by a Negative Number
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