AlgebraWarm up:

HW questions---Write here the numbers:

QUIZ 6.1 to 6.2

-Follow the directions-20 minutes-No talking-No questions

When finished bring up paper and start to read pg. 289 to 293

6.3 Compund Inequalities pg. 289 to 293

Inequalities describes expressions that are not equal

COMPOUND inequalities-- combine 2 inequalities using the words AND and OR.

DO YOU RECALL??????

What happens in an AND situation?

What happens in an OR situation?

"AND" problems involve 2 things happening at the same time-BOTH situations must be met at the same time- When graphed--graphs will overlap-Final answers can be combined into ONE inequality

Let's see the example pg. 289

"AND "problems are called conjunctions-Because the problems are joined together

THINK --it is like doing 2 separate problems and then putting them together--YOU can always recognize an AND problem by the word "AND"

Try another:Alan bought an aquarium and some fish at the pet store. He was told that his fish required water with at least 6 but no more than 10 parts per million of dissolved oxygen. Write an inequality and graph.

"OR" problems are 2 situations that DO NOT happen at the same time-In fact they are completely separate.- It really is like 2 problems -Answers are left as 2 problems-Graphs are on same graph but go in OPPOSITE directions\-disjunction

Try one... pg. 290 ex. 2

Try another one.....

On certain highways, it is illegal for a car to drive less than 45 mph or more than 65 mph. Write an inequality and graph.

You won't always have to do word problems..

Sometimes it is a regular problem to graph.....

Try again..... Try this pg. 291 under example 3

WHAT happens if problems are more complicated......

SPLIT into 2 problems!!!

THEN bring back together

AND problem--STARTS as ONE problem--ENDS as ONE problem

SO........

-6 < 2x + 4 < 10

1. Split the problems into 2 problems and solve them separately

-6 < 2x + 4 2x + 4 < 10 -4 -4 -4 -4

-10 < 2x 2x < 6 2 2 2 2

-5 < x x < 3

At this point- you should be thinking "flip the problem, variable needs to be

on the left" BUT DON'T DO ITWHY?????

2. Because Now to finish-- BRING the 2 answers together (AND)

-5 < x < 3

3. Now graph

-5 < x x < 3

0-5 3

-5 3

"AND" problem

Try it yourselves......

-2 < 5x + 8 < 18

"AND" Problem

HEY! What about OR problems!!!!!-OR problems start as 2 problems and end as 2 problems-Graphs go in opposite directions.

NOTICE : graphs DO NOT overlap and inequalities DO NOT overlap

Try this.. under example 5 pg. 292

YOU GOT IT?

Sum it Up--WHAT do you know???

Practice pg. 292 # 5-18