Download StudNotes-graphing and solving inequalities guided notes

Chapter: Solving Linear Inequalities
Lesson: Solving Inequalities by Using
Addition and Subtraction
Name:
Date:
Period:
Student Notes: 5 examples:
1. Solve. x + (-14) < 16
Rewrite:
Solve this problem as if the __ was an __.
2. Solve. y + 21 > 7
3. Solve. 8y + 3 > 9y -14
Move the _____ variable.
We always like to write the variable on the left side of the inequality.
When you switch the answer around, you must switch the ________, too!
4. Solve. 3r - 17 ≥ 2r + 14
5. Joanna’s tests were 87, 93, 88, and 94.
What must her 5th test grade be to get a total of at least 459?
g = ____________
equation:
Answer:
Chapter: Solving Linear Inequalities
Lesson: Solving Inequalities by Using
Multiplication and Division
Name:
Date:
Period:
Student notes:
NEW STEP:
**
**
k
13 .
4
k
(-4)
13 (-4)
4
k < -52
Ex: Solve

Multiply both sides by _____.
Switch the inequality!

x
 10 . Multiply both sides by 3. Do you switch the inequality?
3
x
(3)  10 (3)
Why not?
3
Ex: Solve


a
 6.
4
a
(-4)
 6 (-4)
4
Ex: Solve
Do you switch the inequality?
Why?


Ex: Solve –8p ≥ -96.
-8p ≥ -96
Do you switch the inequality?
Why?
Ex: Solve 7v < -105.
7v < -105
Do you switch the inequality?
Why?
Chapter: Solving Linear Inequalities
Lesson: Solving Multi-Step Inequalities
Student notes:
5 examples:
1. Solve 5m - 8 > 12.
2. Solve 12 - 3a > 18.
3. Solve 5m - 4 < 2m + 11.
4. Solve 2r - 18 ≤ 5r + 3.
5. Solve 26p - 20 > 14p + 64.
Name:
Date:
Period:
Module: Solving Linear Inequalities
Lesson: Solving Compound Inequalities
Name:
Date:
Period:
CW Practice: Graph the solution set of each compound inequality.
1. p < -8 and p > 4
2. n ≤ -5 or n ≥ -1
3. x < -7 or x ≥ 0
Write a compound inequality for each solution set shown below.
4.
-4 -3 -2 -1 0 1 2 3
5.
-6 -4 -2
0
2
4
6
8
Solve each compound inequality. Then graph the solution set.
6. x - 4 < 1 and x + 2 > 1
7. x + 4 < 2 or x - 2 > 1
8. 6 - c > c or 3c - 1 < c + 13
9. 14 < 3h + 2 < 2
10. 3y + 1 > 10 and y ≠ 6