Solving and Graphing Inequalities

1. Solving and GraphingSolving and Graphing
InequalitiesInequalities
Unit 3Unit 3
≤ ≥, , <, >

2.  Solve: 2 7 5x− − ≤
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Example #1Example #1
7 7+ +
2 12x− ≤
2 -2−
6x ≥ −
Greater than or equal to means closed circle and arrow.

3.  Solve:
1 1
4
x
+ > −
−
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Example #2Example #2
1 1− −
2
4
x
> −
−
( ) ( )( )4 4− −
8x <
Less than means open circle and arrow.

4.  Solve:
4 2 2 6x x− > +
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Example #3Example #3
2 2x x− −
2 2 6x − >
+2 +2
2 8x >
Less than means open circle and arrow.
4x >