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1.Sketch the system of inequalities.

x + 2y ≤ 24

x ≥ 0, y ≥ 0

 

List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)

(xy) =    

(xy) =    

(xy) =    

 

Identify the region as "bounded" or "unbounded."

bounded

unbounded

 

 

 

2.Sketch the system of inequalities.

−2x + y ≤ 12

x ≤ 10

x ≥ 0, y ≥ 0

 

List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(xy) =    

(xy) =    

(xy) =    

(xy) =    

 

Identify the region as "bounded" or "unbounded."

bounded

unbounded

 

3.Sketch the system of inequalities.

x + 2y ≤ 8

x + y ≤ 6

x ≥ 0, y ≥ 0

 

 

List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(xy) =    

(xy) =    

(xy) =    

(xy) =    

 

Identify the region as "bounded" or "unbounded."

bounded

unbounded

  

 4.Sketch the system of inequalities. List all vertices and identify the region as "bounded" or "unbounded."

6x + 3y ≥ 24

y ≥ 2x ≥ 0

 

List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(xy) =    

(xy) =    

 

Identify the region as "bounded" or "unbounded."

bounded

unbounded

 

5.Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.)

A rancher raises goats and llamas on his 800-acre ranch. Each goat needs 4 acres of land and requires $60 of veterinary care per year, while each llama needs 10 acres of land and requires $48 of veterinary care per year. If the rancher can afford no more than $7,920 for veterinary care this year, how many of each animal can he raise?

(land requirements) 

(veterinary care) 

x ≥ 0, y ≥ 0

 

 

Find the vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(xy) =    

(xy) =    

(xy) =    

(xy) =

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