MYP Extended Mathematics Non-linear Inequalities Key Definitions

The set of all points that satisfy every inequality in a system (all constraints). Graphically, it is the overlap region, often a polygon.

An inequality where the expressions are not linear, for example involving $x^2$, $\sqrt{x}$, $e^x$, $\log x$, or $\frac{1}{x}$.

An inequality involving $x$ and $y$ whose boundary is a non-linear curve (for example, a parabola, exponential curve, logarithmic curve, or rational curve). Its solution is a set of points (a shaded region) in the plane.

An inequality using $\le$ or $\ge$, meaning the boundary is included in the solution set.

An inequality using $<$ or $>$, meaning the boundary is not included in the solution set.