5.4 – solving compound inequalities
DESCRIPTION
5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution. Ex. Solve and graph the solution. a. -5 < x – 4 < 2. Ex. Solve and graph the solution. a. -5 < x – 4 < 2. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/1.jpg)
5.4 – Solving Compound Inequalities
![Page 2: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/2.jpg)
Ex. Solve and graph the solution.
![Page 3: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/3.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
![Page 4: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/4.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
![Page 5: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/5.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4
![Page 6: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/6.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4
![Page 7: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/7.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
![Page 8: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/8.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4
![Page 9: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/9.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4
-1 < x
![Page 10: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/10.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x
![Page 11: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/11.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
![Page 12: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/12.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
![Page 13: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/13.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x
![Page 14: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/14.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x
![Page 15: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/15.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 16: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/16.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 17: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/17.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 18: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/18.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 19: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/19.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 20: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/20.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 21: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/21.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
![Page 22: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/22.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0
![Page 23: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/23.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1
![Page 24: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/24.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 25: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/25.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 26: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/26.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 27: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/27.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 28: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/28.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 29: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/29.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 30: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/30.jpg)
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
![Page 31: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/31.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
-3h < 15
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
-3h < 15
-3 -3
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
-3h < 15
-3 -3
h > -5
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15
-3 -3
h > -5
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3
h > -5
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5
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b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
![Page 40: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/40.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
![Page 41: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/41.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0
![Page 42: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/42.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 43: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/43.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 44: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/44.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 45: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/45.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 46: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/46.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 47: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/47.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 48: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/48.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 49: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/49.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 50: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/50.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 51: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/51.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 52: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/52.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
![Page 53: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/53.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4
0-5 3
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b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
0-5 3
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b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
x < -4 or x > 4
0-5 3
![Page 56: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/56.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
x < -4 or x > 4
0-5 3
![Page 57: 5.4 – Solving Compound Inequalities](https://reader035.vdocument.in/reader035/viewer/2022062806/56814f9a550346895dbd581f/html5/thumbnails/57.jpg)
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
x < -4 or x > 4
0-5 3
0-4 4