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WorksheetsSolve inequalities involving absolute value
Total questions: 15
Worksheet time: 38mins
Name
Class
Date
1.
a)
- 7 < y < 3
b)
- 8 < y < 4
c)
- 7 < y < - 3
d)
- 8 < y < - 4
2.
a)
- 1/3 < n or n > 5/3
b)
-1/3 < n < 5/3
c)
1/3 < n < 5/3
d)
n < -5/3 or n > 1/3
3.
a)
x > 11 or x < 5
b)
x > - 11 or x > 5
c)
5 < x < 11
d)
- 5 < x < 11
4.
a)
Infinite solutions
b)
- 2 ≤ x ≤ - 7
c)
No Solution
d)
-7/3 ≤ x ≤ -3/7
5.
a)
- 4 ≤ x ≤ 6
b)
x ≥ - 4 or x ≤ 6
c)
x ≥ 4 or x ≤ - 6
d)
- 4 ≤ x ≤ - 6
6.
Solve.
6 - 2|m -3| > -4
6 - 2|m -3| > -4
a)
-8 < m < 2
b)
m < -8 or m > 2
c)
m < -2 or m > 8
d)
-2 < m < 8
7.
Solve:
3 | 2x + 7| - 7 < -4
3 | 2x + 7| - 7 < -4
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
8.
Solve:
3 | 2x + 7| + 7 < 4
3 | 2x + 7| + 7 < 4
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
9.
Solve:
|x + 3| > - 8
|x + 3| > - 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
10.
| n + 2 | - 3 ≥ -6
a)
No Solution
b)
All Real Numbers
c)
n ≤ -5 or n ≥ 1
d)
-5 ≤ n ≤ 1
11.
What is the solution to the inequality 3|2x - 4| ≥ -9?
a)
ℝ
b)
(-∞, 9) ∪ (9, ∞)
c)
No Solution
d)
{ -1 }
12.
What is the solution to the inequality 2|x - 9| + 6 > 6?
a)
ℝ
b)
(-∞, 9) ∪ (9, ∞)
c)
No Solution
d)
{ -1 }
13.
What is the solution to the inequality 3(1/2x + 2) + 6 < 15?
a)
ℝ
b)
(-∞, 9) ∪ (9, ∞)
c)
No Solution
d)
(-10, 2)
14.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
15.
Solve:
|x + 4| + 8 > 2
|x + 4| + 8 > 2
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
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