IA1.AT.B.7: Represent and analyze systems of two linear inequalities in two variables in context. a. Create systems of linear inequalities in two variables to represent constraints and relationships. b. Graph the solution set to a system of linear inequalities as the intersection of the corresponding half-planes. c. Interpret the meaning of the solution set in context and determine whether given ordered pairs are solutions to the system.

Represent and analyze systems of two linear inequalities in two variables in context. a. Create systems of linear inequalities in two variables to represent constraints and relationships. b. Graph the solution set to a system of linear inequalities as the intersection of the corresponding half-planes. c. Interpret the meaning of the solution set in context and determine whether given ordered pairs are solutions to the system.

Example Problems

Is

(3, 5)

a solution of

y > x + 1

?

Is

(1, 9)

a solution of

y > 4x + 3

?

Is

(1, 0)

a solution of

y < 4x - 2

?

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