Inequalities
12
INEQUALITIES August 19 and 23, 2010
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Transcript of Inequalities
![Page 1: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/1.jpg)
INEQUALITIES
August 19 and 23, 2010
![Page 2: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/2.jpg)
Opener
1. Give an example: {Negative numbers} is NOT closed under multiplication.
2. Solve: x2 = 3243. State the domain and range of the
function :
![Page 3: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/3.jpg)
Section 1.6 - Inequalities
< less than
> greater than
open dot
≤ less than or equal to
≥ greater than or equal to
closed dot
![Page 4: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/4.jpg)
Examples: Assume the domain is all real numbers
4x-7 > 1
![Page 5: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/5.jpg)
Examples
3x-5 < 2
![Page 6: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/6.jpg)
Examples
x-4 > -1 or x-4 ≤ -6
![Page 7: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/7.jpg)
Examples
4-3x > -2
![Page 8: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/8.jpg)
Examples
3 ≤ x+4 < 5
![Page 9: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/9.jpg)
Examples
|x| > 3
![Page 10: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/10.jpg)
Examples
|x-1| < 4
![Page 11: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/11.jpg)
Examples
|3x+7|≥ 7
![Page 12: Inequalities](https://reader033.fdocuments.in/reader033/viewer/2022051818/54bbb0384a7959f05c8b4574/html5/thumbnails/12.jpg)
Exit Slip
1. 5 – 3x ≥ -4
2. 4 – 3x < -2
3. |5x – 3| > 22
4. |x + 3| > -6