Systems of Inequalities - Concept

Concept 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 Sample Problems (9)

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Systems of Inequalities - Problem 1

Graph:

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

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.
Systems of Inequalities - Problem 3

Graph:

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