IndietroSystems of Linear Inequalities definitions
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1/15IndietroSkip to main contentIndietroSystem of Inequalities
A collection of two or more linear inequalities whose solution is the region where all shaded areas overlap. Boundary Line
A straight line representing the edge of a linear inequality, drawn solid or dashed based on the inequality symbol. Solid Line
A boundary drawn when the inequality includes equality, indicating points on the line are part of the solution. Dashed Line
A boundary drawn when the inequality excludes equality, indicating points on the line are not part of the solution. Slope-Intercept Form
An equation format y = mx + b, where m is slope and b is y-intercept, used for easy graphing of lines. Y-Intercept
The point where a line crosses the y-axis, serving as a starting reference for graphing. Slope
A measure of a line’s steepness, calculated as rise over run, guiding the direction of the graph. Test Point
A coordinate, often (0,0), used to check which side of a boundary line satisfies the inequality. Shaded Region
The area on a graph representing all solutions to a linear inequality, determined by test points. Overlap
The intersection of shaded regions from multiple inequalities, indicating the solution to the system. Solution Region
The combined area where all inequalities in a system are satisfied simultaneously. Linear Inequality
An algebraic expression relating variables with inequality symbols, forming a boundary and solution region. Greater Than Symbol
An inequality sign (>) indicating solutions lie above the boundary line, excluding the line itself. Less Than or Equal Symbol
An inequality sign (≤) indicating solutions include the boundary line and the area below it. No Solution
A scenario where shaded regions from all inequalities do not overlap, meaning no common solution exists.
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