3-2 Solving Inequalities Using Addition or Subtraction.
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Transcript of 3-2 Solving Inequalities Using Addition or Subtraction.
![Page 1: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/1.jpg)
3-2 Solving Inequalities Using Addition or
Subtraction
![Page 2: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/2.jpg)
Addition Property of Inequality
Words:Let a, b, and c be real numbersIf a > b, then a + c > b + cIf a < b, then a + c < b + c
Examples:5 > 4, so 5 + 3 > 4 + 3–2 < 0, so –2 + 1 < 0 + 1
![Page 3: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/3.jpg)
Problem 1/2: Solving an Inequality, Graphing, and Checking Solutions
𝑥−15>−12
![Page 4: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/4.jpg)
𝑛−5<−3
![Page 5: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/5.jpg)
Subtraction Property of Inequality
Words:Let a, b, and c be real numbersIf a > b, then a – c > b – cIf a < b, then a – c < b – c
Examples:5 > 4, so 5 – 3 > 4 – 3–2 < 0, so –2 – 1 < 0 – 1
![Page 6: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/6.jpg)
Problem 3: Using the Subtraction Property of Inequality
𝑡+6≤−4
![Page 7: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/7.jpg)
−1≥ 𝑦+12
![Page 8: 3-2 Solving Inequalities Using Addition or Subtraction.](https://reader035.fdocuments.in/reader035/viewer/2022072010/56649da85503460f94a95397/html5/thumbnails/8.jpg)
Problem 4: Writing and Solving an Inequality
The hard drive on your computer has a capacity of 120 GB. You have used 85 GB. You want to save some home videos to your hard drive. What are the possible sizes of the home video collection you can save?