# Lesson: Solving multi-step inequalities

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### Lesson Objective

We will be able to solve and graph multi-step inequalities.

### Lesson Plan

Do Now: (5 minutes)

1) The record for rainfall in DC is 5 inches in one day.  Write an inequality that represents the amount of rain that DC has received in a day.

2) Solve and graph:

x/6 < -7

3) Solve for x:

3x – 9 – 8x = 11

Problem Solving: (15 minutes)

Have students solve the following inequality and equation in their notes:

x/5 > 20 and x/5 = 20

What is the same about each of the solutions?  What is different about the solutions?

Have students solve the following equation in their notes:

3x - 7 = 8

Have students solve the following inequality in their notes:

3x - 7 < 8

What was the same about how you solved the equation and inequality?  What is different about the solutions?

Solve the following inequalities and compare work with a partner:

Ex. 6x - 7 > 2x + 17

Ex. 5x - 12 < 3x - 4

Ex. 7(r - 3) > 13

Guided Practice: (5 minutes)

Solve the following problems on white boards:

2x – 3 > 7

8n – 2 > 17n + 9

4 – 2n > 7 – 3n

Assessment: (10 minutes)

M6.3 work-out

### Lesson Resources

 M6 3 work out   Assessment 462