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Math Problems
Algebra 2
Solve absolute value inequalities
In a right triangle, one angle is
30
30
30
degrees and the hypotenuse is
10
10
10
meters. Find the length of the opposite side. (Specify answer in sine, cosine, or tangent form)
Get tutor help
Solve for
c
c
c
.
∣
−
2
c
∣
>
6
|{-2c}| > 6
∣
−
2
c
∣
>
6
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Solve for
d
d
d
.
∣
−
2
d
∣
≥
2
|{-2d}| \geq 2
∣
−
2
d
∣
≥
2
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Solve for
s
s
s
.
\newline
−
∣
s
∣
≤
−
3
-|s| \leq -3
−
∣
s
∣
≤
−
3
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
c
c
c
.
∣
−
4
c
∣
>
4
|{-4c}| > 4
∣
−
4
c
∣
>
4
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
Get tutor help
Solve for
d
d
d
.
\newline
∣
−
3
d
∣
>
9
|-3d| > 9
∣
−
3
d
∣
>
9
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
\newline
−
∣
z
∣
>
−
3
-|z| > -3
−
∣
z
∣
>
−
3
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
p
p
p
.
∣
p
∣
+
5
>
10
|p| + 5 > 10
∣
p
∣
+
5
>
10
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
q
q
q
.
\newline
∣
−
2
q
∣
>
4
|-2q| > 4
∣
−
2
q
∣
>
4
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
s
s
s
.
\newline
∣
4
s
∣
≤
4
|4s| \leq 4
∣4
s
∣
≤
4
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
\newline
−
2
∣
z
∣
<
−
6
-2|z| < -6
−
2∣
z
∣
<
−
6
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
u
u
u
.
\newline
∣
−
8
u
∣
≥
8
|-8u| \geq 8
∣
−
8
u
∣
≥
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
w
w
w
.
\newline
4
∣
w
∣
≥
4
4|w| \geq 4
4∣
w
∣
≥
4
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
q
q
q
.
\newline
∣
−
7
q
∣
>
7
|-7q| > 7
∣
−
7
q
∣
>
7
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
\newline
−
∣
z
∣
≤
−
4
-|z| \leq -4
−
∣
z
∣
≤
−
4
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
∣
4
z
∣
>
4
|4z| > 4
∣4
z
∣
>
4
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
Get tutor help
Solve for
s
s
s
.
∣
s
+
1
∣
>
2
|s + 1| > 2
∣
s
+
1∣
>
2
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
t
t
t
.
\newline
2
∣
t
∣
≥
4
2|t| \geq 4
2∣
t
∣
≥
4
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
q
q
q
.
\newline
−
2
∣
q
∣
≥
−
2
-2|q| \geq -2
−
2∣
q
∣
≥
−
2
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
\newline
Get tutor help
Solve for
d
d
d
.
∣
d
−
5
∣
≥
5
|d - 5| \geq 5
∣
d
−
5∣
≥
5
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
c
c
c
.
∣
c
∣
−
7
<
−
5
|c| - 7 < -5
∣
c
∣
−
7
<
−
5
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
Get tutor help
Solve for
w
w
w
.
\newline
∣
−
w
∣
<
8
|-w| < 8
∣
−
w
∣
<
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
b
b
b
.
\newline
8
∣
b
∣
≥
8
8|b| \geq 8
8∣
b
∣
≥
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
_
_
\_\_
__
Get tutor help
Solve for
y
y
y
.
\newline
∣
y
∣
−
6
≥
−
1
|y| - 6 \geq -1
∣
y
∣
−
6
≥
−
1
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
t
t
t
.
\newline
−
3
∣
t
∣
≤
−
9
-3|t| \leq -9
−
3∣
t
∣
≤
−
9
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
s
s
s
.
\newline
∣
s
+
2
∣
≤
1
|s + 2| \leq 1
∣
s
+
2∣
≤
1
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
w
w
w
.
\newline
−
3
∣
w
∣
≤
−
9
-3|w| \leq -9
−
3∣
w
∣
≤
−
9
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
r
r
r
.
\newline
2
∣
r
∣
>
8
2|r| > 8
2∣
r
∣
>
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
b
b
b
.
\newline
∣
−
8
b
∣
≥
8
|-8b| \geq 8
∣
−
8
b
∣
≥
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
u
u
u
.
\newline
∣
−
7
u
∣
≤
7
|-7u| \leq 7
∣
−
7
u
∣
≤
7
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
s
s
s
.
\newline
∣
−
2
s
∣
≥
8
|-2s| \geq 8
∣
−
2
s
∣
≥
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
p
p
p
.
\newline
−
∣
p
∣
≥
−
6
-|p| \geq -6
−
∣
p
∣
≥
−
6
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
u
u
u
.
\newline
5
∣
u
∣
<
5
5|u| < 5
5∣
u
∣
<
5
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
q
q
q
.
\newline
∣
q
∣
+
5
>
9
|q| + 5 > 9
∣
q
∣
+
5
>
9
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
u
u
u
.
\newline
−
8
∣
u
∣
<
−
8
-8|u| < -8
−
8∣
u
∣
<
−
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
\newline
−
∣
z
∣
>
−
8
-|z| > -8
−
∣
z
∣
>
−
8
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
∣
−
2
z
∣
≤
8
|{-2z}| \leq 8
∣
−
2
z
∣
≤
8
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.______
Get tutor help
Solve for
b
b
b
.
\newline
−
3
∣
b
∣
<
−
3
-3|b| < -3
−
3∣
b
∣
<
−
3
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
p
p
p
.
\newline
−
5
∣
p
∣
≥
−
10
-5|p| \geq -10
−
5∣
p
∣
≥
−
10
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
s
s
s
.
\newline
∣
s
∣
+
3
≤
4
|s| + 3 \leq 4
∣
s
∣
+
3
≤
4
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
w
w
w
.
\newline
∣
w
∣
−
4
<
3
|w| - 4 < 3
∣
w
∣
−
4
<
3
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
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Solve for
w
w
w
.
\newline
2
∣
w
∣
<
2
2|w| < 2
2∣
w
∣
<
2
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
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Solve for
r
r
r
.
∣
r
+
8
∣
≥
2
|r + 8| \geq 2
∣
r
+
8∣
≥
2
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
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Solve for
b
b
b
.
\newline
∣
b
∣
−
7
≤
2
|b| - 7 \leq 2
∣
b
∣
−
7
≤
2
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
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Solve for
p
p
p
.
\newline
∣
−
3
p
∣
>
6
|-3p| > 6
∣
−
3
p
∣
>
6
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
z
z
z
.
\newline
∣
−
8
z
∣
≥
8
|-8z| \geq 8
∣
−
8
z
∣
≥
8
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
y
y
y
.
\newline
−
6
∣
y
∣
>
−
6
-6|y| > -6
−
6∣
y
∣
>
−
6
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
t
t
t
.
\newline
∣
−
t
∣
>
3
|-t| > 3
∣
−
t
∣
>
3
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
t
t
t
.
∣
−
t
∣
≥
3
|{-t}| \geq 3
∣
−
t
∣
≥
3
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
Solve for
v
v
v
.
\newline
∣
v
−
3
∣
≤
5
\lvert v - 3 \rvert \leq 5
∣
v
−
3
∣
≤
5
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
______
Get tutor help
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