Warm Up
Put your HW and tracking sheet on the corner of your
desk.
• Solve and graph.
1. r - (-5) < 2
2. -8m < 64
3. 3 < 0.5h
• Write an inequality:
4. Twelve is at most the difference of
number and 7.
Solving Multi-Step
Inequalities
Question to Think About:
• You would like to earn at least 85 in Algebra for
the quarter, because that would be a B. You have
earned test grades of 75, 88, and 82 so far. What
test grade must you earn on your fourth test to
ensure that you will earn the grade you want?
• Write your hypothesis on the top corner of your
notes.
Process
• Solve multi-step inequalities the same way that
you would solve multi-step equations
• Your answer should have the variable on the left
• Don’t forget to flip the inequality symbol when
you multiply or divide by a negative number!
Example #1
-7b + 19 < -16
Example #2
4𝑦 − 2
≥ −4
5
Example #3
3k – 18 > 4 + 5k
Example #4
-5x + 2(x – 4) > 13
Special Case:
-4 + 2y < 2(y – 2)
So back to our problem from
the beginning of class:
• You would like to earn at least 85 in Algebra for
the quarter, because that would be a B. You have
earned test grades of 75, 88, and 82 so far. What
test grade must you earn on your fourth test to
ensure that you will earn the grade you want?
Word Problem #1
• You want to make a banner that is 18 feet long.
You have no more than 48 feet of trim for the
banner. What are the possible widths of the
banner?
Word Problem #2
• Your cell phone plan costs $39.99 per month
plus $.15 for each text message you send or
receive. You have at most $45 to spend on your
cell phone bill this month. What is the maximum
number of text message you can send or
receive?
Word Problem #3
• To earn a B in this class, you must achieve a test
average of at least 86. You scored 86, 85, and 80
on the first three tests. What possible scores
can you earn on the fourth and final test to earn
a B in the course?
Whiteboards
• When I put a problem up on the screen, you
solve the problem on your whiteboard.
• When I tell you to, you will hold up your white
board!
Solve and graph
3x – 4 > 17
Solve and graph
10 – 8a ≥ 2(5 – 4 a)
Solve and graph
6m – 5 > 7m + 7 – m
• You have earned 85, 92, 95, and 88 on tests this
grading period. You have one last test and want
an average of at least 90.What score do you need
to achieve your goal?
• A student had $45 when she went to the mall.
She spent $9 on a pair of earrings. Then she
wants to buy some CDs that cost $12 each. How
many CDs can she buy?
•22 ≥ 5(x – 2) – 3x
4(x +2) –3x ≤12
•4(x +2) –3x ≤12
• A friend needs at least $125 to go on
the class trip. He has saved $45. He
makes $20 for each lawn he mows.
How many lawns does he need to
mow to go on the trip?
–3x +15 ≥4(x –2)
–2 +2x≤–14
•8x– 5 > 2(4x – 3)
Homework
• Workbook p. 91-92 #1-19 ODD, 21, 22
Exit Ticket
1. On a separate sheet of paper, solve the
following inequality and graph your solution on a
number line:
-6(x + 1) < 2(x + 5)
2. Write one thing that you learned today.
3.