1 / 15

January 18, 2012

January 18, 2012. By the end of today: I will know what an inequality is. Solve this and graph the answer on a number line: x - 2 = 5. An equation. What does x = 7 MEAN?. A n inequality. Consider this example: x – 2 > 5 What does it mean? What numbers minus two are greater than 5?

syshe
Download Presentation

January 18, 2012

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. January 18, 2012 By the end of today: I will know what an inequality is.

  2. Solve this and graph the answer on a number line: x - 2 = 5 An equation. What does x = 7 MEAN?

  3. An inequality. • Consider this example: x – 2 > 5 What does it mean? What numbers minus two are greater than 5? Well…there are several. Any number bigger than 7. So we write our answer with an inequality. Usually we are asked to graph our solution as well.

  4. To graph an inequality with one variable… • Find all of the possible solutions (solve). • Draw a number line. • You do not have to put all of the numbers. • You DO need to put a 0 in the middle and the number from the solution. • Where you put the number, you have two options: • open circle o for < and > • closed circle • for ≤ and ≥ • Then shade in the direction of the possible solutions.

  5. My turn 1. y – 2 < 6 Your turn 2. y – 7 < 4 Solving Inequalities withAddition and Subtraction

  6. My turn 3. t + 12 ≥ -26 Your turn 4. m + 7 ≥ -14 Solving Inequalities withAddition and Subtraction

  7. Solving Inequalities withMultiplication and Division • Multiplication and Division are exactly what you think they are with one exception: • ANY time you multiply BOTH sides or divide BOTH sides by a negative number, you must flip the sign. • Why?

  8. Algebraically: x < y 0 < y – x -y < -x -x > - y Or think of it as a number line: When we multiply by -1, we are reflecting across the zero, so… 0 x y -y -x 0 -x > -y Why do we change the sign when we multiply or divide BOTH sides by a negative? x < y

  9. My turn 7. 2s < 42 Your turn 8. 3h > 45 Solving Inequalities withMultiplication and Division

  10. My turn 9. –8p > -32 Your turn 10. –4d < -12 Solving Inequalities withMultiplication and Division

  11. My turn 11. 9k < 17 Your turn 12. 6b ≤ 31 Solving Inequalities withMultiplication and Division

  12. My turn 13. > -2 Your turn 14. > -6 Solving Inequalities withMultiplication and Division

  13. My turn 15. > -3 Your turn 16. < 2.6 Solving Inequalities withMultiplication and Division

  14. My turn 17. ≥ 0 Your turn 18. ≤ -3 Solving Inequalities withMultiplication and Division

  15. Homework Worksheet Quiz next time over this.

More Related