Solving One-Step Inequalities

1 / 22

# Solving One-Step Inequalities - PowerPoint PPT Presentation

Solving One-Step Inequalities. 2. 3. 4. 5. 6. 7. 8. Solving One-Step Inequalities. Objective: To solve one-step inequalities using properties for inequalities. Solving One-Step Inequalities. What are the Properties for Inequalities?

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Solving One-Step Inequalities' - betty_james

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Solving One-Step Inequalities

2

3

4

5

6

7

8

Solving One-Step Inequalities

Objective: To solve one-step inequalities using properties for inequalities

Solving One-Step Inequalities

What are the Properties for Inequalities?

Are they the same as for regular equations?

Solving One-Step Inequalities

X-15<73

X-15+15<73+15

both sides

X<88

Solving One-Step Inequalities

Subtraction Property for Inequalities

y+15<25

Y+15-15<25-15

Subtract 15 from both sides

y<10

Solving One-Step Inequalities

Multiplication Property for Inequalities

Multiply both sides by the reciprocal of the coefficient

Solving One-Step Inequalities

Division Property for Inequalities

Divide both sides by the coefficient of x

Notice: Sign CHANGED

Division Property for Inequalities

Caution! Dividing by a negative number

Same if multiplying?

…the sign CHANGES

Multiplication Property for Inequalities

Caution! When you multiply by a negative number…

YES!

-x > 2

5

x < -10

(-5 )-x > 2(-5)

1 5

Solving One-Step Inequalities

Let’s try some on our own …… ready?

• x ≤ 1
• 8 ≤ x or x ≥ 8
• x ≤ 5
• x > 4

5. x ≥ -6

6. 21 < x or x > 21

7. x ≥ 2

8. x > 15

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

Reflection

Solving One-Step Inequalities

Excellent Job !!! Well Done