Quadratic Inequality, An inequality involving a quadratic expression, using symbols such as < or >., Variable, The unknown quantity represented by a letter, such as x or y., Quadratic Expression, A polynomial of degree 2, such as x² - 4x + 3 or x² + y² - 9., Standard Form Sets the Foundation, Write the inequality with one side as zero: ax² + bx + c > 0, Solution Set Satisfies the Inequality, All values of the variable(s) that make the inequality true., Critical Values Divide the Intervals, Roots or zeros where the quadratic expression equals zero., Factoring, Rewriting a quadratic expression as a product of two or more factors to find its roots., Quadratic Formula, A formula used to find the roots of a quadratic equation when factoring is not possible., Test Point, A value chosen from an interval to check whether the inequality holds true in that region., Sign Analysis, Determining whether the quadratic expression is positive or negative in each interval or region, used to identify where the inequality holds true., Number Line, A visual tool used to represent and solve quadratic inequalities in one variable, showing critical values and solution intervals clearly., Coordinate Plane, A graph with x- and y-axes used to represent quadratic inequalities in two variables, displaying boundary curves and shaded solution regions., Boundary Curve, The graph of the related quadratic equation that separates the solution and non-solution regions when working with two-variable quadratic inequalities., Shaded Region, The part of the coordinate plane that represents all solutions to the quadratic inequality, shown by shading the area that satisfies the inequality condition., Interval / Region of Solutions, The interval(s) on the number line (one variable) or the shaded region on the coordinate plane (two variables) where the quadratic inequality is satisfied.

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