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Solving One-Step Inequalities

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?

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Solving One-Step Inequalities

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  1. Solving One-Step Inequalities 2 3 4 5 6 7 8

  2. Solving One-Step Inequalities Objective: To solve one-step inequalities using properties for inequalities

  3. Solving One-Step Inequalities What are the Properties for Inequalities? Are they the same as for regular equations?

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

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

  6. Solving One-Step Inequalities Multiplication Property for Inequalities Multiply both sides by the reciprocal of the coefficient

  7. Solving One-Step Inequalities Division Property for Inequalities Divide both sides by the coefficient of x

  8. Notice: Sign CHANGED Division Property for Inequalities Caution! Dividing by a negative number Same if multiplying?

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

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

  11. Solving One-Step Inequalities 1

  12. Solving One-Step Inequalities 2

  13. Solving One-Step Inequalities 3

  14. Solving One-Step Inequalities 4

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

  16. Solving One-Step Inequalities 5

  17. Solving One-Step Inequalities 6

  18. Solving One-Step Inequalities 7

  19. Solving One-Step Inequalities 8

  20. Answers for #5 - #8 5. x ≥ -6 6. 21 < x or x > 21 7. x ≥ 2 8. x > 15

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

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

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