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