1. 6.1 to 6.3 Solving Linear Inequalitiesp

2. is greater than or equal to
Inequality Symbols
is less than
is not equal to
(not used often)
is less than or equal to
is greater than or equal to
is greater than

3. Linear Inequality Inequality with one variable to the first power.
for example: 2x-3<8
A solution is a value of the variable that makes the inequality true.
x could equal -3, 0, 1, etc.

4. Transformations for Inequalities
Add/subtract the same number on each side of an inequality
Multiply/divide by the same positive number on each side of an inequality
If you multiply or divide by a negative number, you MUST flip the inequality sign!

5. Ex: Solve the inequality.
+3 +3
2x<11
x<
Flip the sign after dividing by the -3!

6. Graphing Linear Inequalities
< and > signs will have an open circle
and signs will have a closed circle
graph of graph of 4 5 6 7 -3 -2 -1

7. Example: Solve and graph the solution.6 7 8 9

8. Example: Solve and graph the solution.
This is a true statement, therefore the solution is
ALL REAL NUMBERS.
If it makes a false statement, then there is
NO SOLUTION.