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# Chapter 5

### Systems

Inequality an open sentence using =, <, >, greater than or equal to, or less than or equal to
Compound Sentence uses 'and' or 'or'
Intersection the values the two sets have in common
Union the values that are either in one or both sets
Solution Set for a System the intersection of the solution sets for the individual sentences
Consistent System has one or more solutions
Inconsistent System has no solutions
Linear Combination Method combining the two sentences to get rid of a variable and find the other
Inverse Matrices MN=NM=[1 0 0 1]
Matrix Form [1 3 ][x] = [22] [2 -1][y] [ 2]
System-Determinant a 2x2 matrix has only one solution only if the determinant is not 0
Half-Planes the line that separates the plane into two distinct regions
Boundary the line that splits the half-planes
Feasible Set the set of solutions to a linear system
Vertices the intersections of the boundaries
Created by: acaforever