IA1.AT.B.8: Model and solve optimization problems using systems of linear inequalities. a. Represent contexts involving constraints and an objective to optimize (i.e., maximize or minimize) using a system of linear inequalities. b. Graph the feasible region and identify solutions that satisfy all constraints. c. Identify and justify the optimal solution(s) based on the objective, and interpret the meaning in context.

Model and solve optimization problems using systems of linear inequalities. a. Represent contexts involving constraints and an objective to optimize (i.e., maximize or minimize) using a system of linear inequalities. b. Graph the feasible region and identify solutions that satisfy all constraints. c. Identify and justify the optimal solution(s) based on the objective, and interpret the meaning in context.

Example Problems
What is the sum of all integer solutions to ?
Use inverse operations to solve the equation for the unknown variable:
Use inverse operations to solve the equation for the unknown variable:
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