1. Solving One-Step Inequalities 7 6 3 5 4 2 8

2. Objective: To solve one-step inequalities using properties for inequalities Solving One-Step Inequalities

3. Solving One-Step Inequalities What are the Properties for Inequalities? Are they the same as for regular equations?

4. Solving One-Step Inequalities Addition Property for Inequalities X-15<73 X-15+15<73+15 X<88 Add 15 to both sides

5. Solving One-Step Inequalities Subtraction Property for Inequalities y+15<25 Y+15-15<25-15 y<10 Subtract 15 from both sides

6. Solving One-Step Inequalities Multiplication Property for Inequalities Multiply both sides by the reciprocal of the coefficient

7. Solving One-Step Inequalities Division Property for Inequalities Divide both sides by the coefficient of x

8. Division Property for Inequalities Caution! Dividing by a negative number Same if multiplying? Notice: Sign CHANGED

9. Multiplication Property for Inequalities Caution! When you multiply by a negative number… YES! - x > 2 5 (- 5 )- x > 2(-5) 1 5 x < -10 … the sign CHANGES

10. Solving One-Step Inequalities Let’s try some on our own, ready? Click on the link below. One step inequalities