Discussion of how to graph linear inequality and their systems with examples, graphs, and formative assessment questions.

1. Linear Inequalities and
their Systems!
When one solution just isn’t enough!

2. What are some important things
to note about this graph when
compared to the inequality?

3. What are some important things
to note about this graph when
compared to the inequality?
The boundary line is dotted.

4. 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.

5. What are some important things
to note about this graph when
compared to the inequality?

6. What are some important things
to note about this graph when
compared to the inequality?
The boundary line is solid.

7. 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.

8. Which inequality symbol is used for the
corresponding inequality to this graph?
≤, ≥, >, <

9. 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.

10. Which inequality symbol is used for the
corresponding inequality to this graph?
≤, ≥, >, <

11. 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.

12. 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.

13. 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?

14. 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

15. 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.

16. 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

17. 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
https://dr282zn36sxxg.cloudfront.net/datastreams/f-
d%3A856f752514ecf97cb1eac58276d9e566feb02de5cab6955df3d9f20c%2BI
MAGE%2BIMAGE.1