1. solving and graphing inequalities
Today’s Lesson:
What:
solving and graphing inequalities
Why:
To solve one and graph one-step inequalities.

2. How can you remember that? Here’s a little trick: open closed
Open or Closed Circle??
When graphing the answer to an inequality on a number line, we use an _________________________ circle for > or < signs, and a _____________________
circle for ≥ or ≤ signs.
How can you remember that? Here’s a little trick:
DOES THE BIRD GET THE WORM ?!?
If the bird “gets the worm,” his belly is full, so
we use a ____________________________ circle. If
the bird does NOT get the worm, his belly is
empty, so we use an _________________________
circle.
open
closed
closed
open

3. Does the bird get the worm?? Put “x” on the left side FIRST!!!
Graph the following inequalities on the given number lines:
x ≥ -4
2 < x
Does the bird get the worm??
Put “x” on the left side FIRST!!!

4. x ≤ 0
-6 ≥ x
Solve AND graph the following
inequalities (switch sign when needed):
-6x ≥ -12
x ≤ 2

5. -9 + x < -4
x < 5
24 ≤ x + 20
x ≥ 4
4) 𝑥 −2 > 5
x < -10

6. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

7. Math-7 NOTES Graphing an inequality: Open or Closed Circle??
DATE: ______/_______/_______
What: solving and graphing inequalities
Why: To solve one and graph one-step inequalities.
NAME:
Graphing an inequality:
Open or Closed Circle??
When graphing the answer to an inequality on a number line, we use an _________________________ circle for > or < signs, and a __________________________
circle for ≥ or ≤ signs.
How can you remember that? Here’s a little trick:
DOES THE BIRD GET THE WORM ?!?
If the bird “gets the worm,” his belly is full, so
we use a ____________________________ circle. If
the bird does NOT get the worm, his belly is
empty, so we use an _________________________
circle.
Graph the following inequalities on the given number lines:
x ≥ -4
2 < x

8. 3) x ≤ 0
4) ≥ x
Solve AND graph the following inequalities (switch sign when needed):
-6x ≥ -12
-9 + x < -4
24 ≤ x + 20
4) 𝑥 −2 > 5

9. Does the bird get the worm?
Name: _____________________________________________________________________________ Date: _____/_____/__________
Math-7 PRACTICE
“solving / graphing inequalities”
Does the bird get the worm?
Match each inequality with its graph:

10. Solve AND graph the following inequalities (switch sign when needed):
15x ≥ -45
5 – x < 7
58 ≤ x + 50
4) x > 2
- 3
5) < -4 x
6) x > 5 2
7) x < -48
8) 𝑥 −4 ≤ -2