Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 3 Page 67

If there is a coefficient for the variable in an inequality, you can use division to cancel the multiplication as they are inverse operations. From Explorations 1 and 2, we saw that the difference between division in an inequality and in an equation is that the inequality sign sometimes changes directions. This occurs when dividing by a negative number.

2x>4 &⇒ x>2 -2x>4 &⇒ x<-2