1. Goal:
Solving One step Linear Inequalities

2. Warm up Solve the following six problems: X-4 = 8 X + 5 = 25
𝑥 5 = Challenge: 4 𝑥 = 12

3. Solving one-step Linear Inequalities
Previous Knowledge:
How do we solve one step equations?
What’s the difference between an equation and an inequality?
What do we call two equations that are the same?

4. Solving Inequalities is just like Solving Equations
Using Addition and subtraction:
Example:
𝑥 – 3 < 𝑥 + 6≥ 10

5. Let’s Try some Examples
−2> 𝑛 −4
3𝑥  2𝑥 + 5
𝑥 + 5 ≥ 3

6. Solving Inequalities is just like Solving Equations
Using Multiplication and Division:
Example:
−2𝑥> 8
3𝑥<12
− 1 2 𝑥≤9
1 4 𝑥 ≥2

7. Let’s Try some Examples
𝑎 3 ≤12
− 𝑎 10 ≤ −2
−4.2𝑚 > 6.3
15𝑝 < 60