Why does the inequality sign flip when both sides of an inequality are multiplied or divided by a negative number Does this happen with equations Explain.?

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1114625

2026-03-24 21:55

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The inequality sign flips when both sides of an inequality are multiplied or divided by a negative number because the direction of the relationship between the two values reverses. For example, if ( a < b ) and we multiply both sides by -1, the inequality becomes ( -a > -b ) since multiplying by a negative number changes the order of the values. This does not happen with equations because equations represent equality; multiplying or dividing both sides by a negative number does not change their equality.

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