1. Lessons 6.1 and 6.2 OBJ: To solve inequalities using addition, subtraction, multiplication, and division.

2. Graph of an Inequality The set of points that represent all solutions. Open endpoint Closed endpoint

3. Equivalent Inequalities Inequalities that have the same solution. Reverse the symbol.

4. Addition Property of Inequality Adding the same number to each side of an inequality produces an equivalent inequality. If a>b, then a+c> b+c If a<b, then a+c<b+c

5. Subtraction Property of Inequality Subtracting the same number from each side of an inequality produces an equivalent inequality. If a>b, then a-c>b-c If a<b, then a-c<b-c

6. Multiplication Property of Inequality Multiplying each side of an inequality by a positive number produces an equivalent inequality. Multiplying each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality.

7. Division Property of Inequality Dividing each side of an inequality by a positive number produces and equivalent inequality. Dividing each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality.