Download Presentation
1-4 Solving Inequalities

Loading in 2 Seconds...

1 / 12

# 1-4 Solving Inequalities - PowerPoint PPT Presentation

1-4 Solving Inequalities. Big Idea: -Solve equations and inequalities. Solving and Graphing Inequalities. As with an equation, the solutions of an inequality are the numbers that make it true. The properties for solving inequalities are similar to the properties for solving equations.

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

## PowerPoint Slideshow about ' 1-4 Solving Inequalities' - gezana

An Image/Link below is provided (as is) to download presentation

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
1-4 Solving Inequalities

Big Idea:

-Solve equations and inequalities.

Solving and Graphing Inequalities

As with an equation, the solutions of an inequality are the numbers that make it true.

The properties for solving inequalities are similar to the properties for solving equations.

The exception occurs when you multiply or divide each side by a negative.

MULTIPLYING OR DIVIDING BOTH SIDES BY A NEGATIVE REVERSES THE INEQUALITY SYMBOL!

Dividing

3x ≥ 15

Multiplying

Compound Inequalities

Compound Inequality: a pair of inequalities joined by “and” or “or”.

Ex: -1 < x and x ≤ 3 same as -1 <x ≤ 3

x < 2 or x ≥ 5

To solve a compound inequality containing “and”, find all values of the variable that make both inequalities true.

-Name a student that is a girl and wearing red

-Name a teacher that is female and is short

-Find x such that x > 2 and x ≤ 5.

To solve a compound inequality containing “or”, find all values of the variable that make at least one of the inequalities true.

-Name a sport that involves water or a puck.

-Name a teacher that is male or teaches Lang. Arts.

-Find x such that x < 0 or x ≥ 5.

Ex 2: Graph the solution.

A) 2x – 1 < 3x and x > 4x – 9.

Classwork/Homework:

• Page 24 #3-11, 17-28
Essential Question:

What are the similarities and differences between inequalities and equations?

Answer on your paper in complete sentences.