1. Solving Inequalities and their Graphs2 3 4 5 6 7 8

2. Inequalities and their Graphs
What is a good definition for Inequality?
An inequality is a statement that two expressions are not equal 2 3 4 5 6 7 8

3. Symbols Less than Greater than Less than OR EQUAL TO
Greater than OR EQUAL TO

4. Solving Inequalities
When you are solving inequalities using addition and subtraction, you use the same steps you would use to solve equations.
Once you find a solution of an inequality, you graph the solution using a number line.

5. Terms you see and need to know to graph inequalities correctly
< less than
> greater than
Notice open circles– only if it’s greater or less than.

6. Terms you see and need to know to graph inequalities correctly
≤ less than or equal to
≥ greater than or equal to
Notice colored in circles– only if its equal to or less than/greater than

7. Your solutions can have a range of answers……
All real numbers less than 2
x< 2

8. Inequalities and their Graphs
Let’s work a few together
Notice: when variable is on left side, sign shows direction of solution 3

9. Inequalities and their Graphs
Let’s work a few together
Notice: when variable is on left side, sign shows direction of solution
Color in circle -2

10. Solving an Inequality x – 3 < 5 x < 8 +3 +3
Solving a linear inequality in one variable is much like solving a linear equation in one variable. Isolate the variable on one side using inverse operations.
Solve using addition:
x – 3 < 5
x < 8

11. Solving Using Subtraction
Subtract the same number from EACH side.

12. Solve then graph the solution.