Infinite Algebra 1 - Compound Inequalities

Math Plus
Name___________________________________
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Compound Inequalities
Solve each compound inequality and graph its solution.
1) -24 £ -7 x - 3 < 39
3) 4 - 2 x £ 18 and 8 x - 3 £ -11
5) -6 + b ³ 2 or
b
5
£1
2) 6v + 1 > -29 and 8v - 10 £ 70
4)
m
7
> 0 or m + 3 £ -5
6) 3 x + 2 £ 2 or 10 x - 6 > 24
7) -3 - x £ -5 or -2 x - 9 > -11
Solve each inequality and graph its solution.
8) 6n - 6 £ 60
9) 10 - m > 9
Worksheet by Kuta Software LLC
-1-
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10) n - 4 ³ 10
11) 10 - 10k < 20
12) -3 + 3 p - 5 ³ 23
13) 2 4n + 1 ³ 22
14) -2 1 + 2 x ³ -6
Worksheet by Kuta Software LLC
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Math Plus
Name___________________________________
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Compound Inequalities
Solve each compound inequality and graph its solution.
1) -24 £ -7 x - 3 < 39
2) 6v + 1 > -29 and 8v - 10 £ 70
-6 < x £ 3 :
-5 < v £ 10 :
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-8 -6 -4 -2
3) 4 - 2 x £ 18 and 8 x - 3 £ -11
-7 £ x £ -1 :
-10
-8
4)
-6
-4
-2
m
7
0
2
4
6
8
-6
-4
-2
10 12
> 0 or m + 3 £ -5
0
m > 0 or m £ -8 :
-12 -10 -8
5) -6 + b ³ 2 or
b
0
2
6) 3 x + 2 £ 2 or 10 x - 6 > 24
£1
5
b ³ 8 or b £ 5 :
x £ 0 or x > 3 :
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8 9 10 11 12
7) -3 - x £ -5 or -2 x - 9 > -11
x ³ 2 or x < 1 :
-3 -2 -1 0 1 2 3 4 5 6 7 8 9
Solve each inequality and graph its solution.
8) 6n - 6 £ 60
9) 10 - m > 9
m < 1 or m > 19 :
-9 £ n £ 11 :
-4 -2 0 2 4 6 8 10 12 14 16 18 20 22
-8
-4
0
4
8
12
Worksheet by Kuta Software LLC
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4
10) n - 4 ³ 10
11) 10 - 10k < 20
-1 < k < 3 :
n ³ 14 or n £ -6 :
-3 -2 -1 0 1 2 3 4 5 6 7 8 9
-8
-4
0
4
8
12
16
12) -3 + 3 p - 5 ³ 23
p³
31
or p £ -7 :
3
13) 2 4n + 1 ³ 22 n ³
-8
-4
0
4
8
5
or n £ -3 :
2
-7 -6 -5 -4 -3 -2 -1 0 1
12
14) -2 1 + 2 x ³ -6
-2 £ x £ 1 :
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
Worksheet by Kuta Software LLC
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