Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable
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
Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly < less than > greater than Notice open circles
Inequalities and their Graphs 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
Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 3
Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 7
Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution -2 Color in circle
Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 8
Try this one on your own
On your Own
On your Own
Answer 1 through 5 1.
On your Own 2.
On your Own 3.
On your Own 4.
On your Own 5.
Answer 6 through 10 6. b ≤ -7
On your Own 7. a>8
On your Own 8. q ≥ -5
On your Own 9. s < 14
On your Own 10. m≥ 8
Graphing Inequalities Excellent Job !!! Well Done
Solving One-Step Inequalities 2 3 4 5 6 7 8
Solving One-Step Inequalities Objective: To solve one -step inequalities using properties for inequalities
Solving One-Step Inequalities What are the Properties for Inequalities? Are they the same as for regular equations?
All rules are the same as solving equations except:
Solving One-Step Inequalities 1
Solving One-Step Inequalities 2
Solving One-Step Inequalities 3
Solving One-Step Inequalities 4
Solving One-Step Inequalities 5
Solving One-Step Inequalities 6
Solving One-Step Inequalities 7
Solving One-Step Inequalities 8
Solving One-Step Inequalities Excellent Job !!! Well Done