1. Solve Multi-Step Inequalities
Section 6-3
Solve Multi-Step Inequalities
Objective: Students will create and solve inequalities.
Standards: A.REI.1 , A.REI.3 , A.CED.3

2. Example 1 Solve a two-step inequality: JUSTIFY -7x + 2 < -5 - 2 -2
-7x < -7
x > 1
Graph:
Given.
APOI
Simplify
Divided by negative,
So FLIP the inequality
MPOI
Simplify

3. Example 2 Solve a multi-step inequality: ⅓(3x + 6) ≥ -1 x + 2 ≥ -1
x ≥ -3
Graph:
Given.
Distribute
APOI
Simplify

4. Example 3 Solve a multi-step inequality: 9x + 6 ≤ 6x + 21 -6x -6x
3x ≤ 15
x ≤ 5
Graph:
Given.
APOI
Simplify
APOI
Simplify
MPOI
Simplify

5. Example 4 Identify the number of solutions of the inequality:
8x – 4 ≥ 4(2x – 1)
8x – 4 ≥ 8x – 4
-8x x
-4 ≥ -4
-2x + 9 < -2(x – 3)
-2x + 9 < -2x + 6
+2x x
9 < 6
All Real Numbers because -4 ≥-4 is True.
No Solutions because 9 < 6 is False.

6. Homework Section 6-3 Pg. 372 – 374 Solve & Prove: 3 – 9, 17 –20
Follow Directions: 29, 30,
37, 38, 40