When both sides of an any quality or multiplied or divided by a negative number the inequality symbol switches from less than 2 greater than or greater than to less than in the inequality is said to be preserved or reserved.

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30-10-2022
Mathematics

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When both sides of an any quality or multiplied or divided by a negative number the inequality symbol switches from less than 2 greater than or greater than to less than in the inequality is said to be preserved or reserved.

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MaeliaL366580 MaeliaL366580 · Answer 1 · 2022-10-30T19:46:32+01:00

Recall that an inequality symbol is preserved under any addition or subtraction, but it REVERSES (flips) direction when you multiply both sides OR divide both sides by a negative number.

So the greater tahn symbol changes to a less than symbol and vice versa:

a < b whne you multiply (or divide) by for example (-2) negative two becomes:

-2 a > -2 b

It switches form < to > or vice versa (from > to <)