Solving One-Step Inequalities

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Presentation transcript:

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?

Solving One-Step Inequalities Addition Property for Inequalities X-15<73 X-15+15<73+15 Add 15 to both sides X<88

Solving One-Step Inequalities Subtraction Property for Inequalities y+15<25 Y+15-15<25-15 Subtract 15 from both sides y<10

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 Same if multiplying? Notice: Sign CHANGED

YES! -x > 2 5 x < -10 (-5 )-x > 2(-5) 1 5 Multiplication Property for Inequalities Caution! When you multiply by a negative number… YES! -x > 2 5 …the sign CHANGES x < -10 (-5 )-x > 2(-5) 1 5

Solving One-Step Inequalities Let’s try some on our own …… ready?

Solving One-Step Inequalities 1

Solving One-Step Inequalities 2

Solving One-Step Inequalities 3

Solving One-Step Inequalities 4

Answers for #1 - #4 x ≤ 1 8 ≤ x or x ≥ 8 x ≤ 5 x > 4

Solving One-Step Inequalities 5

Solving One-Step Inequalities 6

Solving One-Step Inequalities 7

Solving One-Step Inequalities 8

Answers for #5 - #8 5. x ≥ -6 6. 21 < x or x > 21 7. x ≥ 2

Reflection Please take out a piece of paper and write down what the steps are for solving a one-step inequality

Solving One-Step Inequalities Excellent Job !!! Well Done