Lesson 7-6 Pages Solving Multi-Step Inequalities PA Lesson Check 7-5

What you will learn! How to solve inequalities that involve more than one operation.

What you really need to know! Some inequalities require more than one step to solve. For such inequalities, undo the operations in reverse order, just as in solving multi- step equations.

What you really need to know! Remember to reverse the inequality symbol when multiplying or dividing each side of the inequality by a negative number.

What you really need to know! If the inequality contains parentheses, use the Distributive Property to begin simplifying the inequality.

Example 1: 5x + 13 > 83 x > 14 5x >

Example 2: 7 – 4a ≤ 23 – 2a -2a ≤ 16 -4a ≤ 16 – 2a a ≥ -8

Example 3: According to a fitness magazine, to avoid injury while backpacking, three times the weight of your backpack and its contents should be less than your body weight. 3(b + c) < w

A person weighing 213 pounds has a 10-pound backpack. What is the maximum weight for the contents of the pack? 3(b + c) < w

A person weighing 213 pounds has a 10-pound backpack. What is the maximum weight for the contents of the pack? 3(10 + c) < 213

30 + 3c < 213 3c < 183 c < 61 The weight of the contents should be less than 61 pounds.

Page 357 Guided Practice #’s 4-12

Pages with someone at home and study examples! Read:

Homework: Pages #’s even #’s 47-48, PA Lesson Check 7-Ch7

Link to Lesson 7-6 Review Problems

Page 741 Lesson 7-6

PA Lesson Check 7-Ch7

Study Guide and Review Pages #’s 1-43 (Odd answers in back of book)

Prepare for Test! Page 363 #’s 1-25 PA LC Ch7

Prepare for Test! Pages #’s 1-22