Transcript 3.4 Solving Multi-Step Inequalities

3.4 Solving Multi-Step
Inequalities
Objective: SWBAT multi-step
problems involving linear inequalities
in one variable and provide
justification for
each step.
Mini Quiz 23
1
1. Solve 3  x  11
4
1
2. Solve 15   x  7
8
Practice Problems
Solve and graph the inequalities:
1. x + 5 < -3
-8
0
x < -8
2. -5 ≤ 6x – 11
0
1 ≤ x or x ≥ 1
3. ⅔ x + 3 ≥ 11
x ≥ 12
0
4. 2x + 10 ≥ -2(x – 1)
x ≥ -2
0
12
Problems
Solve.
5. -3x – 0.4 > 0.8
x < -0.4
6. 12 > -2x – 6
x > -9
7
7. 6 ≥ x – 1
3
x≤3
8. -x + 6 > -(2x + 4)
x > -10
Problems
9. -2(x + 3) < 4x – 7
1
x> 6
10. 4 – 2m ≤ 5 – m + 1
m ≥ -2
1
1 3 5
11. n    n
2
4
4
n≤-½
2
12. 3.8 – x ≤ 5.2 – 2x
x ≤ 1.4
13. 4(a – 2) – 6a ≤ -9
x≥½
Wrap Up

Solve multi-step inequalities
HW: P. 147 #13-33 EOO, 41-49 odd,
51-63 EOO
Write DLUQ for notes.