Download - Lecture 7.1 bt
Today’s AgendaAttendance / Announcements
Questions from 6.1Sections 7.1Quiz Friday
Exam ScheduleExam 4 (Ch 6,7)
Fri 11/15Exam 5 (Ch 10)
Thur 12/5Final Exam (All)
Thur 12/12
Review Graphing Lines
Sections 2.1, 2.2
Graphing Linear Inequalities
Graphing Linear Inequalities𝑦<𝑥+3
1. Graph boundary line3xy
2. Check inequality sign (Dashed or Solid?)
3. Shade accordingly
4. Test Points
Graphing Linear Inequalities
1. Graph boundary line
2
3
2
1 xy
2. Check inequality sign (Dashed or Solid?)
3. Shade accordingly
4. Test Points
624 xy 23
21 xy
Graphing Systems of Inequalities
1. Graph boundary lines2. Check inequality signs (Dashed or Solid?)3. Shade accordingly
5. Test Points
4 𝑥+𝑦 ≥92 𝑥+3 𝑦 ≤7
4. Identify Intersecting regions (“Feasible”)
Graph the Feasible Region5 𝑦−2𝑥≤10
𝑥 ≥3𝑦≥2
𝑦 ≤25𝑥+2
𝑥≥3𝑦 ≥2
Find “Corner Points” of the Feasible Region3𝑥+2 𝑦 ≤6
−2𝑥+4 𝑦 ≤8𝑥+𝑦 ≥1𝑥≥0𝑦 ≥0
𝑦 ≤−32𝑥+3
𝑦 ≤ 12𝑥+2
𝑦 ≥−𝑥+1𝑥≥0𝑦 ≥0
Find “Corner Points” of the Feasible Region3𝑥+2 𝑦 ≤6
−2𝑥+4 𝑦 ≤8𝑥+𝑦 ≥1𝑥≥0𝑦 ≥0
Finding Feasible RegionsFind the system whose feasible region is a triangle with vertices (2,4), (-4,0), and (2,-1)
2
46
832
x
yx
yx
Classwork / Homework
• Page 395•1 – 6 •7 – 45 e.o.odd•47, 49, 53