WORKSHEET GENERATORS
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Problems of Inequalities
1) Solve the following inequalities:
a) 5 (7x + 2) ≥ 2x – 7
c) 5 (6x + 5) ≤ –10 (8x + 11)
e) 7 (–x – 2) – 5 (2x + 4) ≥ –12
b) 3 (6x + 8) < –x – 4
d) 5 (x + 8) < –8 (5x – 1)
f) 10 (7x – 11) ≤ 6x – 2
2) Solve the following inequalities:
1 x
–x – 5
<
a) 2 –
+
3
4 6
c) 2 –
e)
3(5x + 3)
1 –4x – 2
≥
–
4
3
3
–3x – 8
18
+ 3x + 6 ≤ 2 –
2
5
3) Solve the following inequalities:
a) | 7x – 16 | < 19
d) | –3x – 9 | ≤ 8
b)
9
2 –x + 8
+ 2x + 4 ≥
+
5
3
5
d)
7 3x – 8
–6x + 7
–
≤ –9+
3
2
2
f)
7 2(–3x + 9)
5 4x
< – –
+
5
3
3
3
b) | 3x – 9 | < 19
e) | 2x + 2 | ≥ 7
c) | 3x – 17 | ≥ 18
f) | 6x – 16 | ≤ 17
4) Solve the following inequalities:
a) –6x + 1 ≥ 2x2 + 1
c) 2x2 + 37 > 20x + 5
e) 6x + 3 > –x2 + 3
b) –x2 + 7x – 9 > 1
d) x2 + 3x ≤ 0
f) x2 – 5 > –1
5) Solve the following inequalities:
x + 14
>7
a)
x–4
8x – 4
≤2
c)
x+4
x–8
<3
e)
x–4
8x
<0
2x – 12
8x – 2
≥0
d)
x+4
x
≥0
f)
x–4
b)
6) Graph the solution to:
y ≤ 2x – 10
1
WORKSHEET GENERATORS
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Problems of Inequalities
Answers:
1)
2)
3)
–17
33
–22
e) x ≤
17
–41
a) x <
2
–12
e) x ≤
5
–28
19
27
f) x ≤
16
–53
b) x ≥
33
25
f) x >
3
b) x <
a) x ≥
a) x ∈
–3
,5
7
c) x ≤
–27
22
d) x <
–32
45
c) x ≤
–15
61
d) x ≤
–71
9
b) x ∈
–10 28
,
3
3
c) x ∈ –∞,
–1
3
U
35
, +∞
3
d) x ∈
–17 –1
,
3
3
e) x ∈ –∞,
–9
2
U
5
, +∞
2
f) x ∈
–1 11
,
6
2
4)
a) x ∈ [–3, 0]
c) x ∈ (–∞, 2) U (8, + ∞)
e) x ∈ (–∞, –6) U (0, + ∞)
b) x ∈ (2, 5)
d) x ∈ [–3, 0]
f) x ∈ (–∞, –2) U (2, + ∞)
5)
a) x ∈ 4 , 7
b) x ∈ 0 , 6
c) x ∈ –4 , 2
d) x ∈ –∞ , –4 U
e) x ∈ –∞ , 2 U 4 , + ∞
f) x ∈ –∞ , 0 U 4 , + ∞
2
1
, +∞
4
WORKSHEET GENERATORS
Problems of Inequalities
6)
Graph:
Solution region:
3
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