Worked-out Problems

Chapter 3 continued
4. 7s ≤ 14
7s
14
≥
7
7
s ≥ 2
5 4 3 2 1
3.5 Guided Practice (p. 146)
1. To solve 7y ≤ 49, use the division property of inequality.
2. Sample answer: To solve 2x > 14, divide each side
by 2, which is positive, so the direction of the inequality
symbol does not change.
To solve 2x > 14, divide each side by 2, which is
negative, so you must reverse the direction of the
inequality symbol.
v
3. < 8 2
v
2 p > 2(8)
2
v > 16
13 14
v
Check: < 8 2
4. 8b > 32
8 b
> 3 2
8 8
b > 4
0 1
18
? < 8 2
9 < 8 ✓
Check: 8b > 32
8(6) ? > 32
48 > 32 ✓
5. u 6 ≥ 3
6 p u 6 ≥ 6 p 3
u ≥ 18
15 16
Check: u 6 ≥ 3
15 16 17 18 19
2 3 4 5 6
17 18 19 20 21
2 1
? ≥ 3
6
3.5 ≥ 3 ✓
0 1
6. 6s ≤ 54
6s
54
≥
6
6
s ≥ 9
12 11 10 9 8 7 6
Check: 6s ≤ 54
6(6) ? ≤ 54
36 ≤ 54 ✓
7. 5a < 35
5 a
< 35
5 5
a < 7
10 9
Check: 5a < 35
5(10) ? < 35
50 < 35 ✓
8. p 7 > 6
7 p p 7 > 7 p 6
p > 42
39 40
Check: p 7 > 6
9. 3r ≥ 21
3 r
≥ 2 1
3 3
r ≥ 7
4 9
? > 6
7
7 > 6 ✓
4 5 6 7 8 9 10
Check: 3r ≥ 21
3(9) ? ≥ 21
27 ≥ 21 ✓
10. 4
t ≤ 9
4 p 4
t ≤ 4(9)
Check:
8
t ≤ 36
7
6
41 42 43 44 45
39 38 37 36 35 34 33
4
t ≤ 9
5
4
38
? ≤ 9
4
94 Pre-Algebra
Chapter 3 Worked-Out Solution Key
9.5 ≤ 9 ✓
Copyright © McDougal Littell/Houghton Mifflin Company
All rights reserved.