1. Warm Up in your SPIRAL! Jan. 6, 2015!! START NOW

2. A few announcements for your agenda!!
HW Packets- turn your completed packet in today and get a FREE HW pass or Quiz points coupon!
HW tonight: Finish page 146 of your MSG and BRING A NEW MSG if you have not already!!
BRING PENCILS everyday!!

3. Writing & Graphing Inequalities
Learning Target: Today I am learning how to write and graph inequalities on the number line because I want to be able to represent situations that have more than one correct answer.

4. Where might I see inequalities in real life?

8. If it’s any smaller, you’ve got to throw him back!

9. Activator
You are going to Six Flags as soon as school is out (yaay!). You have to be at least 4 ft. tall to ride some of your favorite rides, but it isn’t only 4-foot tall people who can ride the rides! How tall can you be and ride the rides?
See if you can figure out how to represent this with an inequality sign and a variable. (Hint: if it were an equation it would look like this: x = 4 ft. Use one of the inequality symbols posted on the board to make it an inequality.)
What are the possible solutions for x (the variable)?
4 ft. tall and taller
x > 4 ft.
4’, 4’1”, 4’2” ’, 6’1”, etc.! And everything
in between!

10. What are some other situations that have more than one answer or qualifying response?
Examples:
Scores that qualify for an A: > 90
Money you need to get into Six Flags: > $39
Age required to get the kids’ meal: < 10 years old)
Number of days to complete your project < 5 days

11. Write on Page 144 of your MSG!
Course 2
12-4
Write on Page 144 of your MSG!
An inequality states that two quantities
either are not equal or may not be
equal. An inequality uses one of the
following symbols:
Symbol
Meaning
Word Phrases
<
> ≤ ≥
is less than
Fewer than, below
is greater than
More than, above
is less than or equal to
At most, no more than
is greater than or equal to
At least, no less than

12. Page 144 of MSG! And: Symbol Meaning Word Phrases ≠ is not equal to

13. Page 145 MSG #1-8 Circle the correct answer!

14. Page 144 of MSG Write an inequality for each situation.
A. There are at least 15 people in the waiting room.
“At least” means greater
than or equal to.
number of people ≥ 15 or
x ≥ 15
B. The tram attendant will allow no more
than 60 people on the tram.
“No more than” means
less than or equal to.
number of people ≤ 60 or
x ≤ 60

15. Inequalities 12-4 Check It Out: Example 1
Course 2
12-4
Inequalities
Check It Out: Example 1
Write an inequality for each situation.
C. There are at most 10 gallons of gas in the tank.
“At most” means less
than or equal to.
gallons of gas ≤ 10 or
x ≤ 10
D. There are at least 10 yards of fabric left.
“At least” means
greater than or equal to.
yards of fabric ≥ 10 or
x ≥ 10

16. Graphing Inequalities
Course 2
12-4
Graphing Inequalities
This open circle shows that 5 is not a solution.
a > 5
If the variable is “greater than or equal to” or “less than or equal to” a number, that number is indicated with a closed circle.
This closed circle shows that 3 is a solution.
b ≤ 3

17. Symbols Review – Page 144 or 147 of your MSG!
Open Circle
Closed Circle
The number is not included in the solution.
The number is included in the solution.

18. Additional Example 2: Graphing Simple Inequalities
Course 2
12-4
Inequalities
Additional Example 2: Graphing Simple Inequalities
On your own paper, graph each inequality.
A. n < 3
3 is not a solution, so
draw an open circle at 3. Shade the line to the left of 3.
–2 –
B. a ≥ –4
–4 is a solution, so
draw a closed circle
at –4. Shade the line
to the right of –4.
–6 –4 –

19. Inequalities 12-4 Check It Out: Example 2
Course 2
12-4
Inequalities
Check It Out: Example 2
On your own paper, graph each inequality.
A. p ≤ 2
2 is a solution, so
draw a closed circle at 2. Shade the line to the left of 2.
–3 –2 –
B. e > –2
–2 is not a solution, so
draw an open circle
at –2. Shade the line
to the right of –2.
–3 –2 –

20. Page 146 MSG #1-7 Write an inequality and graph on the number line!

21. Closing! HW: Finish Page 146 in MSG Bring a NEW MSG
How is an inequality different than an equation? How are they the same?