Question

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.

Answer 1

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 <)