3.3 systems of inequalities 2010 - poudre school district 2/c… · 3.3 systems of inequalities...
TRANSCRIPT
![Page 1: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/1.jpg)
3.3 Systems of Inequalities 2010
1
October 20, 2010
Sand
3.3 Systems of Inequalities
How do you solve systems of inequalities graphically?
What is a solution region?
Objective: To solve systems of linear inequalities.
![Page 2: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/2.jpg)
3.3 Systems of Inequalities 2010
2
October 20, 2010
Oct 212:39 PM
Check Skills You'll Need:
Solve each inequality.
1. 5x 6 > 27 2. 18 5y > 52 3. 5(4x + 1) < 23
![Page 3: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/3.jpg)
3.3 Systems of Inequalities 2010
3
October 20, 2010
Oct 212:45 PM
Check Skills You'll Need: Graph each inequality.
4. y < 4x 1 5. 3y > 6x + 3 6. 5y + 2x > 5
7. y < |x| 8. y > |x + 3| 9. y < |x 2| + 4
![Page 4: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/4.jpg)
3.3 Systems of Inequalities 2010
4
October 20, 2010
Nov 206:49 AM
Solving Systems of Linear Equations
To solve a system of linear equations by graphing:Graph each line and find the point of intersection
To solve means:To find a solution that fits both lines.The point of intersection is the only solution that exists where a solution fits both lines.
Recall...
![Page 5: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/5.jpg)
3.3 Systems of Inequalities 2010
5
October 20, 2010
Sand
What is a system of inequalities?
y < 2x + 1y < 2x +5y > 3{
The shaded region is called the... SOLUTION REGION!
![Page 6: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/6.jpg)
3.3 Systems of Inequalities 2010
6
October 20, 2010
Oct 212:58 PM
Solve the system of inequalities by graphing.
x 2y < 6 y < 3/2x + 5{
![Page 7: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/7.jpg)
3.3 Systems of Inequalities 2010
7
October 20, 2010
XY axis large
Solve the system of inequalities.
y > x + 42x y > 2{
![Page 8: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/8.jpg)
3.3 Systems of Inequalities 2010
8
October 20, 2010
Oct 21:12 PM
Solve the system of inequalities.y < 4y > |x 3|{
![Page 9: 3.3 Systems of Inequalities 2010 - Poudre School District 2/C… · 3.3 Systems of Inequalities 2010 4 October 20, 2010 Nov 206:49 AM Solving Systems of Linear Equations To solve](https://reader035.vdocuments.us/reader035/viewer/2022063016/5fd411a163b14e05f06fc2a2/html5/thumbnails/9.jpg)
3.3 Systems of Inequalities 2010
9
October 20, 2010
Sand
Homeworkp136 (4 38)even