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Agenda
Lesson: Solving Multi-Step Inequalities
Homework Time
Solving Multi-Step Inequalities
Solve the following inequality for “n.”
3n + 12 ≥ 60
Solve the following inequality for “n.”
3n + 12 ≥ 60- 12 - 12
Solve the following inequality for “n.”
3n + 12 ≥ 60- 12 - 12
3n ≥ 48
Solve the following inequality for “n.”
3n + 12 ≥ 60- 12 - 12
3n ≥ 483 3
Solve the following inequality for “n.”
3n + 12 ≥ 60- 12 - 12
3n ≥ 483 3
n ≥ 16
Solve the following inequality for “n.”
3n + 12 ≥ 60- 12 - 12
3n ≥ 483 3
n ≥ 16
Now, graph the solution.
Solve the following inequality for “n.”
3n + 12 ≥ 60- 12 - 12
3n ≥ 483 3
n ≥ 16
Now, graph the solution.
16
Solve the following inequality for “n.”
13 – 6n < 49 – 2n
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n + 2n + 2n
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n + 2n + 2n
– 4n < 36
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n + 2n + 2n
– 4n < 36-4 -4
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n + 2n + 2n
– 4n < 36-4 -4
n > -9
Did you remember to reverse the inequality?
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n + 2n + 2n
– 4n < 36-4 -4
n > -9
Now graph the solution.
Solve the following inequality for “n.”
13 – 6n < 49 – 2n - 13 - 13
– 6n < 36 – 2n + 2n + 2n
– 4n < 36-4 -4
n > -9
Now graph the solution.
-9
Let’s try one more example.
- 4.8- 4.4 >b-5
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
.4 >b-5
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
.4 >b-5
• (-5)(-5) •
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
.4 >b-5
• (-5)(-5) •
-2 < bDid you remember to
reverse the inequality?
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
.4 >b-5
• (-5)(-5) •
b > -2Let’s rewrite this
with the variable on the left side.
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
.4 >b-5
• (-5)(-5) •
b > -2Now graph the
solution.
Let’s try one more example.
- 4.8- 4.4 >b-5
+ 4.8 + 4.8
.4 >b-5
• (-5)(-5) •
b > -2Now graph the
solution.
-2
Solve and Graph each Inequality.
32146 N 20)37(4 G
rr 2085 453
B
1) 2)
3) 4)
Solve and Graph each Inequality.
32146 N 20)37(4 G
rr 2085 453
B
1) 2)
3) 4)
3N
3
Solve and Graph each Inequality.
32146 N 20)37(4 G
rr 2085 453
B
1) 2)
3) 4)
3N
3
4G
4
Solve and Graph each Inequality.
32146 N 20)37(4 G
rr 2085 453
B
1) 2)
3) 4)
3N
3
4G
4
2r
2
Solve and Graph each Inequality.
32146 N 20)37(4 G
rr 2085 453
B
1) 2)
3) 4)
3N
3
4G
4
2r
2
3B
-3
Homework
Pg. 190 – 191 # 9-13 odd, 15, 16, 17-25 odd, 29-33 odd,45
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