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assignment_3.docx

In problems 1,2 show steps of solutions. Problems 3,4,5,6 require graphs. Sketch graphs on paper and submit them as a scan file of your handwriting or you may utilize MS Word to complete this assignment. I recommend word!

Section 4.2 (1 point)

1. For the matrix: perform following row operation: (-5)R1 + R2 R2

Section 4.2 (1 point) 2. Solve problem using augmented matrix method (see pages 183-189)

x – 4y = –18

–2x + y = 1

Section 5.1 (1 point) (Show graph)

3. Solve the linear inequality graphically (show graph of border line and shade the portion that satisfy the inequality)

8x – 5y ≤ 40

Section 5.1 (1 point) (Show graph)

4. Solve the linear inequality graphically (show graph of border line and shade the region that satisfy the inequality)

x + 4y ≥ 8

Section 5.2 (1 point) (Show graph)

5. Solve the system of two inequalities graphically

(show graph of each border line and shade the region that satisfy both inequalities)

2x + 5y ≤ 10

x – y ≤ 2

Section 5.2 (1 point) (Show graph)

6. Solve the system of inequalities graphically and find the coordinates of each corner point.

2x – y ≥ – 4

2x + y ≤ 4

y ≥ – 2