3. Objectives
At the end of this class, we will be able
to:
Remove important info from word problems
and set up inequalities.
Solve the inequalities.
Graph the solutions
Figure out if Miss Hill can have her soda!
6. 3 + 7 + 9 + 4 ≥
Back to the Soda!
3(0.25) + 7(0.05) + 9(0.10) + 4(0.01) ≥ 2.00
0.75 + 0.35 + 0.90 + 0.04 ≥ 2.00
2.04 ≥ 2.00
Can Miss Hill get her soda or will she stay parched through this
entire lesson?? Why or why not?
+
7. Blair and Nicole are going to buy a present for
their new friend, Josiah. The present costs $50
and they’ve decided to split it. Nicole, who
works hard mowing lawns, has already saved
her $25. Blair, on the other hand, has only
saved $19 doing random chores around her
house. Blair only has 2 days available to work
between now between now and when the girls
will go shopping. How much money does she
need to earn each day to have her half of the
total?
8. Wow – lots of words! Let’s find the useful stuff!
19 (money Blair has saved) + 2x (days Blair has to make the
money) ≥ 25 (Blair’s half of the gift)
19 + 2x ≥ 25
-19 -19
÷ 2 ÷ 2
2x ≥ 6
x ≥ 3
Blair must make greater than or equal to $3 each day.
How would we say this in everyday language?
10. Now to SHOW how much Blair has
to earn…
Recall – we figured out x ≥ 3 (tell) so let’s show it!
-5 -4 -3 -2 -1 0 1 2 3 4 5
11. Helpful Hints!
Multiply or divide by a negative? FLIP OUT!
Remember Alfred the Alligator – he’s one hungry
reptile!
The best part of school is show AND tell!
≥ becomes ≤