15 terms

piecewise functions

a function that is defined differently for different disjoint intervals in its domain.

linear inequality

inequality in which all the terms have a degree of one or zero

boundary line

a line that divides the coordinate plan into two regions, called half-planes

half plane

one of two regions of a coordinate plan created by a line in the plane. Closed if bounded line is included. Open if boundary line is not included.

system of linear equations

two or more linear equations using the same variables at the same time. simultaneous

substitution method

a method that involves substituting an value equivalent to an expression or variable into another equation

elimination method

Also called linear combination, a method that involves eliminating one of the variables.

parallel systems

no solution or inconsistent

coinciding systems

infinite solutions or consistent and dependent

dependent system

a system that produces coincident lines

independent system

a system that produces two distinct lines

consistent system

Systems that have a solution.

inconsistent system

system that has no solution

system of linear inequatlities

two or more linear inequalities using the same variables.

solution region

overlapping half-planes in a system of inequalities