Quad Inequal Apr 17 09
Transcript of Quad Inequal Apr 17 09
![Page 1: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/1.jpg)
Quadratic
Inequalities
![Page 2: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/2.jpg)
Quadratic Inequality
2 ways to solve:
1 graph the inequality and find the region
2 use "sign" diagram to find solution
![Page 3: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/3.jpg)
![Page 4: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/4.jpg)
Solve by graphing:
1. Graph the inequality using the same rules for the boundary line as used with linear inequalities
2. Test one point on each side of the boundary line to determine the range that is true for the inequality.
3. Shade in the range
![Page 5: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/5.jpg)
Sign Diagram
1. Determine the zeros of the function and place them on a number line.
2. Use open circles for > or <
3. Use solid circles for or
![Page 6: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/6.jpg)
10 2 3 4 5 6 7 8 9 1012345678910
4. Test one value of x for each interval determined by the zeros
5. Determine the intervals for which values are true for the inequality
![Page 7: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/7.jpg)
x2 + x + 1 > 0
![Page 8: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/8.jpg)
![Page 9: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/9.jpg)
10 2 3 4 5 6 7 8 9 1012345678910
![Page 10: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/10.jpg)
![Page 11: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/11.jpg)
10 2 3 4 5 6 7 8 9 1012345678910
![Page 12: Quad Inequal Apr 17 09](https://reader031.fdocuments.us/reader031/viewer/2022020207/5551840db4c90596028b4b3c/html5/thumbnails/12.jpg)
Exercise 28
Questions 1 - 3