1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :
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Transcript of 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :
![Page 1: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/1.jpg)
Bellwork:
1
Solve each:
1.5x – 7 > 8x + 92.|x – 5| < 23.x2 – 9 > 0
:
![Page 2: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/2.jpg)
Solving Equations and Inequalities Graphically
![Page 3: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/3.jpg)
Cartesian Coordinate Plane
3
Y > 0
Y = 0
Y < 0
![Page 4: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/4.jpg)
Using the graph, find the value when f(x) = g(x)
4
f(x)
g(x)
(-.8, 3.4)
![Page 5: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/5.jpg)
Using the graph, find the value when f(x) > g(x)
5
f(x)
g(x)
(-.8, 3.4)
![Page 6: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/6.jpg)
Using the graph, find the value when f(x) < g(x)
6Algebra II
f(x)
g(x)
(-.8, 3.4)
![Page 7: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/7.jpg)
Using the graph, find the value when f(x) < 0
7
f(x)
g(x)
(-.3333.., 0)
![Page 8: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/8.jpg)
Using the graph, find the value when f(x) > 0
8
f(x)
g(x)
(.3333.., 0)
![Page 9: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/9.jpg)
Given the graph, find where f(x) = 0.
9
(2, 0) (4, 0)
![Page 10: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/10.jpg)
Given the graph, find where f(x) < 0.
10
(2, 0) (4, 0)
![Page 11: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/11.jpg)
Given the graph, find where f(x) > 0.
11
(2, 0) (4, 0)
![Page 12: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/12.jpg)
Given the graph, solve x2 – 5x = 5
12
(5.85, 5)(-.854, 5)
![Page 13: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/13.jpg)
Given the graph, solve x2 – 5x > 5
13
(5.85, 5)(-.854, 5)
![Page 14: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/14.jpg)
Given the graph, solve x2 – 5x < 5
14Algebra II
(5.85, 5)(-.854, 5)
![Page 15: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/15.jpg)
Given the graph, find where f(x) = g(x)
15
f(x)
g(x)
(1.45, -3.35)
(-3.45, 11.35)
![Page 16: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/16.jpg)
Given the graph, find where f(x) < g(x)
16
f(x)
g(x)
(1.45, -3.35)
(-3.45, 11.35)
![Page 17: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/17.jpg)
Given the graph, find where f(x) > g(x)
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f(x)
g(x)
(1.45, -3.35)
(-3.45, 11.35)
![Page 18: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/18.jpg)
5x – 7 > 3x + 9Y1= 5x – 7Y2 = 3x + 9
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Solve graphically using graphing calculator.
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Solve graphically using the graphing calculator.
|x – 5| < 2Y1= |x – 5|Y2 = 2
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![Page 20: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/20.jpg)
Solve graphically using the graphing calculator.
x2 – 2x < 13Y1 = x2 – 2xY2 = 13
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![Page 21: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/21.jpg)
Solve graphically using the graphing calculator.
x2 – 2x – 3 > 0Y1 = x2 – 2x – 3
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![Page 22: 1 Solve each: 1. 5x – 7 > 8x + 9 2. |x – 5| < 2 3. x 2 – 9 > 0 :](https://reader035.fdocuments.net/reader035/viewer/2022062515/56649f485503460f94c69e28/html5/thumbnails/22.jpg)
Solve the graphically using the graphing calculator.
2x3 – 3x2 – 32x > - 48Y1= 2x3 – 3x2 – 32x Y2 = -48
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Exit Pass
Solve each graphically using the graphing calculator1. |2x – 3 | < 8
2. x2 + 4x – 10 > 0
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