Systems
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| compound sentence | A sentence in which two clauses are connected by the word and or by the word or
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| union | the set consisting of those values in either one or both sets.
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| Addition Property of Inequality | If a<b, then a+c < b+c
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| Multiplication of Properties Inequality | If a < b and c > 0, then ac < bc.
If a < b and c < 0, then ac > bc.
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| Linear Combination Method | Involves adding multiples of the given equations.
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| System-Determinant Theorem | A 2 X 2 system has exactly one solution if and only if the determinant of the coefficient matrix is NOT zero.
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| which side is the equation x > 5 shaded | It is a dotted line shaded to the right
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| Feasible Set | The set of solutions to a system of linear inequalities
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| Vertices | It is the intersections of the boudaries (lines)
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| Linear-Programming Theorem | The feasible region of every linear-programming problem is convex, and the maximum or minimum quantity is determined at one of the vertices of this feasible region.
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| Steps to solve a linear-programming problem | 1. Identify variables
2. Identify the constraints
3. Graph system; find vertices of feasible set
4. Write a formula or an expression
5. Apply the Linear-Programming Theorem.
6. Interpret the results.
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Created by:
katelesperance
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