Solve the following inequality using the multiplication property of inequalities. If you multiply both sides by a negative number, be sure to reverse the direction of the inequality symbol. Graph the solution set.

Question

Quizplus · Accepted Answer

The inequality is:

-4(x+5) > 12

Using the multiplication property of inequalities, we can divide both sides by -4, but we need to reverse the inequality symbol since we are dividing by a negative number:

x+5 < -3

Then we can subtract 5 from both sides to isolate x:

x < -8

To graph the solution set, we draw an open circle at -8 (since x is less than, but not equal to, -8) and shade to the left of that point:

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Solve the Following Inequality Using the Multiplication Property of Inequalities