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Why does the inequality sign change when bothe sides are multiplied ir divided by a negative number?

April 26, 2017bothe divided inequality IR Mathematics multiplied

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Why does the inequality sign change when bothe sides are multiplied ir divided by a negative number?

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Consider:- 5 < 9 is true (5 is less Than 9) Multiply both sides by - 1:- - 5___- 9 To make a true statement requires the > sign:- – 5 > – 9 ie – 5 is GREATER THAN – 9 (- 5 lies to right of – 9 on the number line)