Solving Multistep Linear Inequalities in One Variable

1
Solving Multi-step Linear Inequalities in One
Variable

• 6.3

2
Using More Than One Step

• Solve 3n 2 14...
• 3n 2 14
• - 2 - 2
• 3n 12
• 3 3
• n 4

3
Your Turn!

• Do 1 on page 336

4
Use the Distributive Property

• Solve 4(x 1) gt 8...
• 4(x 1) gt 8
• 4x 4 gt 8
• 4 4
• 4x gt 12
• 4 4
• x gt 3

5
Your Turn!

• Do 3 on page 337

6
Collect Variable Terms

• Solve 11 2x 3x 16...
• 11 2x 3x 16
• - 11 - 11
• - 2x 3x 5
• - 3x - 3x
• - 5x 5
• - 5 - 5
• x -1

7
Your Turn!

• Do 8 on page 337

8
Writing and Using a Linear Model

• You have saved 25 toward a new snowboard. You
  are also saving your earnings from a dishwashing
  job that pays 5.15 per hour. How many hours
  must you work before you have at least 225 saved?

9
Example (continued)

• Verbal model

Hourly wage
of hours worked
Money already saved
Desired savings
10
Example (continued)

• Labels
• Hourly wage 5.15
• of hours worked x
• already saved 25
• Desired savings 225

11
Example (continued)

• Algebraic model
• 5.15x 25 225
• - 25 - 25
• 5.15x 200
• 5.15 5.15
• x 38.835...
• Solution At least 39 hours

12
Your Turn!

• Do 10 on page 338

13
Homework

• Page 339
• 2, 3, 6, 13, 14, 16, 20 25, 29, 37, 45, 49