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Linear Inequalities: Systems of Equations
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Key Concepts:
Terms in this set (17)
≤ less than or equal to; ≥ greater than or equal to
Which inequality symbols generate a solid line when graphed?
< less than; > greater than
Which inequality symbols generate a dotted line when graphed?
Elimination
The method by which this system of linear equations is designed to be solved.
-8x - 9y = 17
9x + 9y = -9
Substitution
The method by which this system of linear equations is designed to be solved:
x = -6
4x + 3y = 6
(-2,4)
The solution to the following system of linear equations:
-8x - 8y = -16
x = -2
(2, -9)
The solution to the following system of linear equations:
y = -7x + 5
y = -x - 7
Greater Than
>
Less Than
<
Greater Than or Equal to
≥
Less Than or Equal to
≤
The solution set
The double shaded region of an inequality graph
Shade below
Where you should shade in relation to the line when you have an inequality graph with <
Shade above
Where you should shade in relation to the line when you have an inequality graph with >
Empty set or no solution
A description of the solution set of linear equations in which the lines are parallel
All points on the line (infinitely many solutions)
A description of the solution set of linear equations in which the lines are the same or overlapping
One single point of intersection
A description of the solution set of linear equations in which the lines are intersecting
Put them into calculator's y = , graph, and find the point of intersection
The most efficient method by which to solve the following system of linear equations:
y = -7x + 5
y = -x - 7
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