Infinite Algebra 1 - Compound Inequalities
Algebra 1
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Compound Inequalities
EXAMPLES: Solve each compound inequality and graph its solution.
1) 5 - 3n > -10 or 5n - 5 ? 35
2) -9k + 7 ? 16 and 5 - k ? 13
3) -36 ? 9 - 9a < 90
4) 4n - 5 > 11 or 9 - 8n ? 25
Examples: Set up and solve a compound inequality.
5) Nine less than a number is between 3 and 8. Find the range of numbers that make this true.
6) Find three consecutive even integers suche that one half of their sum is between 15 and 21.
Practice: Solve each compound inequality and graph its solution.
7) 6 ? 6a + 6 ? -30
8) -13 ? 5 - 3x < 2
Worksheet by Kuta Software LLC
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9) 3 p - 2 ? 4 and 6 - 9 p > -21
10) 9x - 1 < -46 or 1 - 4x ? -11
11) -10 - n < -12 or 9 + 4n ? 21
12) 8n + 5 < -75 and 6 + 8n < 30
Practice: Set up and solve a compound inequality.
13) The sum of four times a number and eight is between zero and twelve. Find the range of numbers.
14) A store is offering a $30 mail in rebate on all color printers. Luis is looking at different color printers that range in price from $175 to $260. How much can he expect to spend after the rebate?
15) The perimeter of a triangle is between 10 and 15 inclusively. If two of the sides of the triangle are 3.7 and 5.2, find the range of possible measurements of the third side.
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Worksheet by Kuta Software LLC
Answers to Compound Inequalities
1) n < 5 or n ? 8 :
1 2 3 4 5 6 7 8 9 10 11 12 13
2) -8 ? k ? -1 :
-10 -8 -6 -4 -2
0
3) -9 < a ? 5 :
-10 -8 -6 -4 -2 0 2 4 6
4) n > 4 or n ? -2 :
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
5) 12 < x < 17
6) 10, 12, 14
7) No solution. :
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
8) 1 < x ? 6 :
9) 2 ? p < 3 :
-2 -1 0 1 2 3 4 5 6 7 8 9 10
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8
10) x < -5 or x ? 3 :
-10 -8 -6 -4 -2 0 2 4 6
11) n > 2 :
12) n < -10 :
0 1 2 3 4 5 6 7 8 9 10 11 12
13) -2 < x < 1
14) $145 < x < $230
-16 -14 -12 -10 -8 -6 -4
15) 2.1 x ? 2 x x ? 2 7.1
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Worksheet by Kuta Software LLC
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