Linear Inequalities and their Systems! When one solution just isn’t enough!
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Linear Inequalities and their Systems!
When one solution just isn’t enough!
What are some important things to note about this graph when compared to the inequality?
What are some important things to note about this graph when compared to the inequality?
The boundary line is dotted.
What are some important things to note about this graph when compared to the inequality?
The boundary line is dotted.
The shading is above the line.
What are some important things to note about this graph when compared to the inequality?
What are some important things to note about this graph when compared to the inequality?
The boundary line is solid.
What are some important things to note about this graph when compared to the inequality?
The boundary line is solid.
The shading is below the line.
Which inequality symbol is used for the corresponding inequality to this
graph?
Which inequality symbol is used for the corresponding inequality to this
graph?
The shading is below the line so y will be less than
- And - The boundary line is dotted so it does
NOT include the equals mark.
Which inequality symbol is used for the corresponding inequality to this
graph?
Which inequality symbol is used for the corresponding inequality to this
graph?
The shading is above the line so y will be greater than
- And - The boundary line is solid so it does
include the equals mark.
Systems of Linear Inequalities
Two or more linear inequalities graphed on the same coordinate plane.
The Solution is the set of all the points in the ‘double shaded’ region.
Name a point in the solution set of this system.
Answer questions about the solution set of this system!
Is the solution set of this system above or below the blue line?
Is the solution set of this system above or below the red line?
Is the point (2, 5) a solution to the system?
Is the point (0, -6) a solution to the system?
Answer questions about the solution set of this system!
Is the solution set of this system above or below the blue line?
Is the solution set of this system above or below the red line?
Is the point (2, 5) a solution to the system?
Is the point (0, -6) a solution to the system?
BELOW
ABOVE
YES
NO
Answer questions about the solution set of this system!
Is the solution set of this system above or below the green line?
Is the solution set of this system above or below the red line?
Is the point (0, -1) a solution to the system?
Is the point (0, 2) a solution to the system?
Name at least one other point in the solution set.
Answer questions about the solution set of this system!
Is the solution set of this system above or below the green line?
Is the solution set of this system above or below the red line?
Is the point (0, -1) a solution to the system?
Is the point (0, 2) a solution to the system?
Name at least one other point in the solution set.
ABOVE
BELOW
YES
NO
Image Sources: http://images.flatworldknowledge.com/redden/redden-fig04_x031.jpg
http://www.math-aids.com/images/pre-algebra-function-graph-inequalities.png
http://catchupmath.com/hotmath_help/spanish/topics/graphing-systems-of-linear-inequalities/image3.gif
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