AND
Compound
OR
Compound
Less Than Absolute Value
Greater Than Absolute Value
Misc.
100

-8 < c+5 < -1

-13 < c < -6

100
-a + 8 < -2 OR -3a > -9
a > 10 OR a < 3
100
|3x| - 10 < -4
-2 < x < 2
100
2|x| + 3 > 18
x < -7.5 OR x > 7.5
100

Write the interval notation. x>-2

(-2, infinite)

200
-15 < x - 8 < -4
-7 < x < 4
200
x - 3 < -3 OR x - 3 >= 3
x < 0 OR x > 6
200
|x| - 2 <= 3
- 5 <= x <= 5
200
|x| + 17 > 20
x < -3 OR x > 3
200
A welterweight boxer must weigh more than 140 pounds but at most 147 pounds. Write an inequality in x for the weight range
140 < x <= 147
300
A graph is a segment with open circles at -2 and 4. Write an inequality using x, which has this graph
-2 < x < 4
300
The graph is two rays with an open circle at -3 and a closed circle at 3. Write an inequality in x, which has this graph.
x < -3 OR x >= 3
300
3|x-6|<=9
3 <= x <= 9
300
|x-6| - 7 > -3
x < 2 OR x > 10
300
A club wants to sell 350 tickets. The actual sales were no more than 35 tickets from this goal. Write an inequality in x to represent the range of tickets sold.
|x - 350| <= 35
400
12 <= 4n < 28
3 <= n < 7
400
5k <= -20 OR 2k >= 8
k <= -4 OR k >= 4
400
|x+1| + 5 < 7
-3 < x < 1
400
0.5|x+5| >= 2
x <= -9 OR x >= -1
400
The temperature at noon was 88 degrees F. During the day, the temperature varied by as much as 7.5 degrees F. Write an inequality in x for the range of temperatures.
|x - 88| <= 7.5
500
-2 <= 3b + 7 <= 13
-3 <= b <= 2
500
2s + 3 <= 7 OR 3s + 5 > 26
s <= 2 OR s > 7
500
|x+3| - 1.5 < 2.5
-7 < x < 1
500
2|x-2| >= 3
x <= 0.5 OR x >= 7.5
500
A company is hiring trainees with less than 1 year of experience and managers with 5 or more years of experience. Write an inequality in x to represent this situation.
x < 1 OR x >= 5
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