Solving Inequalities 6.1 by Lanie Mullen
So first off why do we even solve inequalities?
We solve them to get whatever variable we have like X for example to get it on its own with the inequality sign. Also an inequality is a range of solutions and when you graph it you need to include all the points that work.
Example: x < 5
Graphing inequalities and multi step inequalities
Try these problems
Remember: < is not equal too but <= is equal
You should've gotten something like this because X is greater than 2
Now we're gonna try multi step Inequalities
Answer (see so simple)
Let's try another one!
Solving Inequalities 6.2 by Lasandra Cook
consists of 2 distinct quantities joined by the word “and” or “or"
Contains the overlap of the graphs of the two inequalities
-2>x and x<0
Contains each graph of the two inequalities
X< 3 or x> 5
Here try it yourself
-1<x and x<2
X<-3 or x<4
Now we are going to do solve and graph the solution
N-5<-12 OR 6n >48
-5 -5 6n>48
-3<x+5 OR. -3<x-4
-5. -5. +4. +4
Solving Inequalities 6.3 by Seydou Gandega
Definition of absolute value
Absolute value is the distance from zero it's always positive it can never be negative
Examples of absolute value
True or false
What number can I sustitute to replace x that make the absolute value of x=15
#1 Is this true or false
> is this greater or less
Solving Inequalities 6.4 by Lanie Mullen
Linear inequalities and systems
System of linear inequalities are made up of two or more inequalities
Another example of doing this is y<2x-3 & 2x+y>2
Then you graph it!
Y=my+b & y<= 1/2x +2 = y<-2x-3
Y>3x-2 & 2y-x<= 6
Y=mx+b & y=2/3x+3