Boundary Point

The boundary point is the point at the edge of a number line inequality.

The boundary point for the strict inequality x>4x\gt 4 is 4.4.

Boundary Line

A boundary line is a line that defines the edge of an area. Usually, this refers to the line that splits a plane in half in the graph of a linear inequality.
In the example above, the line y=xy=x is the boundary line of the non-strict inequality yx.y\leq x.

Boundary Curve

A boundary curve is the same as a boundary line in every way except that the word curve can be used to describe inequalities whose boundaries are not linear functions.
In this example, the curve y=x2y=x^2 is the boundary curve of the strict inequality y>x2y\gt x^2

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