Lesson 7-6 Pages 355-359

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 > 70

14 1512 1310 11 1716

Example 2:

7 – 4a ≤ 23 – 2a

-2a ≤ 16-4a ≤ 16 – 2a

-6 -5-8 -7-10 -9 -3-4

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

3(10 + c) < 21330 + 3c < 2133c <

183c < 61The weight of the contents should be less than 61 pounds.

Page 357

Guided Practice

#’s 4-12

Pages 355-356 with someone at home and

study examples!

Read:

Homework: Pages 357-359

#’s 14-44 even

#’s 47-48, 50-63

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

360-362

#’s 1-43(Odd answers in back of book)

Prepare for Test!

Page

363

#’s 1-25 PA LC Ch7

Prepare for Test!

Pages

364-365

#’s 1-22