Transcript Mod 8 Graphing Inequalities

We are learning to…solve and represent inequalities
on a number line.
Sunday, March 27, 2016
Warm Up
 Solve the 3x  5  17
 Create a drawing with Algebra Tiles
 Record your steps carefully
 Check your equation by using substitution
 Raise your hand when you are done so that your teacher
can check the solution.
Human Number Line Activity
By looking at the results of our
“Human Number Line” determine
some possible solutions to the
following inequalities…
We need 11 volunteers!
Reflection
With your team evaluate the
difference between “equations” and
“inequalities.” Write some your
ideas in the space provided.
Vocabulary
Inequality - A mathematical
sentence stating that one quantity
is greater than or less than an other.

Symbols Used:



Critical Thinking
Could you ever name all of
the possible solutions for the
inequality ? Why or why
not?
Demonstrate where to find the solutions to the inequality x  5
on the number line below:
Name some values for x which would make this inequality true:
Number Line:
Why is there an open circle on 5?
•5 is not a solution…all of the
solutions are greater than 5 but not
equal to 5?
Why might it be helpful to plot the
inequality on a number line?
•Since you cannot list all of the
solutions to an inequality using a
number line is way to visually see
all of the solution to an inequality.
Demonstrate where to find the solutions to the inequality
number line below:
x  4 on the
Name some values for x which would make this inequality true:
Number Line:
Why is there a closed circle on -4?
•-4 is a solution and should be included in the picture
of the numbers in the solutions to the inequality.
Team Practice
 With your team:
1. Think of 5 possible solutions for the given inequalities.
2. Evaluate if the boundary point is part of the solution or not a
part of the solution.


3.
If the point is part of the solution use a closed (filled in) circle.
If the point is not part of the solution use an open (not filled in)
circle.
Finally demonstrate where to find all of the solutions on the
number line by drawing a bold line with an arrow.
Compound Inequalities
 Compound Inequalities – Two or more inequalities put together.
3  x  7
Name some possible solutions to this inequality:
We know that: x  3 and x  7
Try graphing some compound inequalities on number lines with your team!