Infinite Algebra 1 - WS Inequalities - Compound and Multi-step
Algebra 1
Name___________________________________ ID: 1
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WS Inequalities - Compound and Multi-step
Date________________ Period____
Solve each inequality and graph its solution.
1) -7 + 3x - 2 < 3
2) 8a - 6a > -6
-3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
3) 21 > 3v + 4v
-4 -3 -2 -1 0 1 2 3 4 5 6
5) 0 < 8 - 8n - 8
-6 -5 -4 -3 -2 -1 0 1 2 3 4
7) 132 < 4(8r + 3) - 8
-4 -3 -2 -1 0 1 2 3 4 5 6
9) -8(-7n + 5) - 1 < 239
-2 -1 0 1 2 3 4 5 6 7 8
4) 5x + 8 - 5x > 8
-6 -5 -4 -3 -2 -1 0 1 2 3 4
6) 121 < p - 5(1 - 4 p)
3 4 5 6 7 8 9 10 11 12 13
8) 4(3 - 8x) < -180
4 5 6 7 8 9 10 11 12 13 14
10) -138 ? -5(1 - 4n) - n
-10
-8
-6
-4
-2
Solve each compound inequality and graph its solution. Write the solution in interval notation.
11) -6 ? x - 6 ? -12
12) 8 ? 8v < 16
-10 -8
-6
-4
-2
0
2
-3 -2 -1 0 1 2 3 4 5 6 7 8 9
13) x + 4 < -4 or -8x < -32
-10 -8 -6 -4 -2 0 2 4 6 8
x 14) < 0 or -8x ? -64
9
-4 -2 0 2 4 6 8 10 12
15) -82 ? 10x - 2 ? 18
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
16) -2 < b + 8 < 13
-12 -10 -8 -6 -4 -2 0 2 4 6 8
17) 9 - 2v > -11 and 3 - 8v ? -45
2 3 4 5 6 7 8 9 10 11 12 13 14
18) 6n - 7 ? -43 or 10n + 6 ? -34
-12 -10 -8
-6
-4
-2
19) -9k + 9 < 54 or 4k - 4 ? -32
20) 3a - 2 > 25 or -9 - a ? -4
-14 -12 -10 -8
-6
-4
-2
-10 -8 -6 -4 -2 0 2 4 6 8 10 12
Worksheet by Kuta Software LLC ?w j2l0g1e6h bKvustKas oSdopfotowEagrjeK SLaLYCq.z I rAilplO vrNiggQhztmsB Tr^eWsSemrfviexdT.X e cMvakdZer AwUiAtIhP ZI^nlfTiLnBiOtWeI iA`lFgoepblroaa Q1C.
Algebra 1
Name___________________________________ ID: 1
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WS Inequalities - Compound and Multi-step
Date________________ Period____
Solve each inequality and graph its solution.
1) -7 + 3x - 2 < 3
2) 8a - 6a > -6
-3 -2 -1 0 1 2 3 4 5 6 7
x < 4
3) 21 > 3v + 4v
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
a > -3
4) 5x + 8 - 5x > 8
-4 -3 -2 -1 0 1 2 3 4 5 6
v < 3
5) 0 < 8 - 8n - 8
-6 -5 -4 -3 -2 -1 0 1 2 3 4
No solution.
6) 121 < p - 5(1 - 4 p)
-6 -5 -4 -3 -2 -1 0 1 2 3 4
n < 0
7) 132 < 4(8r + 3) - 8
3 4 5 6 7 8 9 10 11 12 13
p > 6
8) 4(3 - 8x) < -180
-4 -3 -2 -1 0 1 2 3 4 5 6
r > 4
9) -8(-7n + 5) - 1 < 239
4 5 6 7 8 9 10 11 12 13 14
x > 6
10) -138 ? -5(1 - 4n) - n
-2 -1 0 1 2 3 4 5 6 7 8
n < 5
-10
-8
-6
-4
-2
n ? -7
Solve each compound inequality and graph its solution. Write the solution in interval notation.
11) -6 ? x - 6 ? -12
12) 8 ? 8v < 16
-10 -8
-6
-4
-2
0
2
-6 ? x ? 0
13) x + 4 < -4 or -8x < -32
-10 -8 -6 -4 -2 0 2 4 6 8
x < -8 or x > 4
15) -82 ? 10x - 2 ? 18
-3 -2 -1 0 1 2 3 4 5 6 7 8 9
1 ? v < 2
x 14) < 0 or -8x ? -64
9
-4 -2 0 2 4 6 8 10 12
x < 0 or x ? 8
16) -2 < b + 8 < 13
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-8 ? x ? 2
17) 9 - 2v > -11 and 3 - 8v ? -45
-12 -10 -8 -6 -4 -2 0 2 4 6 8
-10 < b < 5
18) 6n - 7 ? -43 or 10n + 6 ? -34
2 3 4 5 6 7 8 9 10 11 12 13 14
6 ? v < 10
19) -9k + 9 < 54 or 4k - 4 ? -32
-12 -10 -8
-6
-4
-2
n ? -6 or n ? -4
20) 3a - 2 > 25 or -9 - a ? -4
-14 -12 -10 -8
-6
-4
-2
-10 -8 -6 -4 -2 0 2 4 6 8 10 12
k > -5 or k ? -7
a > 9 or a ? -5
Worksheet by Kuta Software LLC
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