### Concept (1)

When solving systems of inequalities, you are solving for a solution region. A solution region is the collection of points that are solutions to both inequalities. Solving systems of inequalities combines knowledge of graphing lines, graphing inequalities and solving systems of equations.

### Sample Problems (9)

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Graph:

y > 3x − 2
y ≤ -½x + 4
###### Problem 1
How to find the solution region of a system of inequalities by graphing.

Graph:

-2y > -4x + 6
y > 5
###### Problem 2
How to find the solution region of a system of inequalities when one inequality is not in y=mx+b form.

Graph:

y > ¾x − 2
y < ¾x − 3
###### Problem 3
How to find the solution to a system of inequalities for parallel lines.
###### Problem 5
How to interpret the solution set to a system of inequalities when a graph is provided
###### Problem 6
Special cases of graphing systems of linear inequalities, including those with no solution or parallel lines
###### Problem 7
Writing constraints, shading the feasible region, and finding solution points to a system of inequalities that models a word problem
###### Problem 8
Graphing a system of linear inequalities
###### Problem 9
Writing a system of inequalities to represent a given graph