The inequality is where .

Apply division property of inequality: if then .

Divide each side by a.

.

The inequality is where .

Apply division property of inequality: if then .

Divide each side by a and reverse the inequality symbol.

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Dividing each side of an inequality by a positive number produces an equivalent inequality.

Dividing each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality.