1. Solving One-Step Inequalities2 3 4 5 6 7 8

2. Solving One-Step Inequalities
Objective: To solve one-step inequalities using properties for 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
Add 15 to
both sides
X<88

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

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

10. Solving One-Step Inequalities
Let’s try some on our own …… ready?

11. Solving One-Step Inequalities1

12. Solving One-Step Inequalities2

13. Solving One-Step Inequalities3

14. Solving One-Step Inequalities4

15. Answers for #1 - #4
x ≤ 1
8 ≤ x or x ≥ 8
x ≤ 5
x > 4

16. Solving One-Step Inequalities5

17. Solving One-Step Inequalities6

18. Solving One-Step Inequalities7

19. Solving One-Step Inequalities8

20. Answers for #5 - #8 5. x ≥ -6 6. 21 < x or x > 21 7. x ≥ 2

21. Reflection
Please take out a piece of paper and write down what the steps are for solving a one-step inequality

22. Solving One-Step Inequalities
Excellent Job !!! Well Done