Systems of Linear Inequalities Calculator
We can solve a system of linear inequalities by graphing each inequality and identifying where the shaded areas overlap.
If we imagine that the shaded area for each inequality represents safety from a specific monster, then the space where all the shaded areas overlap represents the area we’re completely safe and contains the solutions to the system of inequalities.
Remember, a solid line means the boundary is also safe, and a dotted line means the boundary is not safe.
How do we check if a point is a solution to a system of linear inequalities?
We can plug in the and values of the point into each linear inequality and simplify.
If all of the inequalities simplify to a true statement, then the point is a solution.
If one or more of the inequalities simplify to a false statement, then the point is not a solution.
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