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?
Addition Property for Inequalities X-15<73 X-15+15<73+15 X<88 Add 15 to both sides
Solving One-Step Inequalities Subtraction Property for Inequalities y+15<25 Y+15-15<25-15 y<10 Subtract 15 from both sides
Solving One-Step Inequalities Multiplication Property for Inequalities Multiply both sides by the reciprocal of the coefficient
Solving One-Step Inequalities Division Property for Inequalities Divide both sides by the coefficient of x
Division Property for Inequalities Caution! Dividing by a negative number Notice: Sign CHANGED Same if multiplying?
Multiplication Property for Inequalities Caution! When you multiply by a negative number… …the sign CHANGES YES ! -x > 2 5 (-5 )-x > 2(-5) 1 5 x < -10
Solving One-Step Inequalities Lets try some on our own …… ready?
Solving One-Step Inequalities 1
2
3
4
1. x x or x 8 3. x 5 4. x > 4 Answers for #1 - #4
Solving One-Step Inequalities 5
6
7
8
Answers for #5 - #8 5. x x x 2 7. x 2 8. x > x > 15
Please take out a piece of paper and write down what the steps are for solving a one-step inequality Reflection
Solving One-Step Inequalities Excellent Job !!! Well Done