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Math Problems
Algebra 1
Solve compound inequalities
Solve for
r
r
r
.
\newline
12
>
r
+
3
>
6
12 > r + 3 > 6
12
>
r
+
3
>
6
\newline
Express your answer as a compound inequality with integers.
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Solve for
r
r
r
.
\newline
r
+
20
≤
4
r + 20 \leq 4
r
+
20
≤
4
or
r
+
8
>
6
r + 8 > 6
r
+
8
>
6
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
r
≤
−
16
r \leq -16
r
≤
−
16
or
r
>
−
2
r > -2
r
>
−
2
\newline
(B)
r
≤
24
r \leq 24
r
≤
24
or
r
>
14
r > 14
r
>
14
\newline
(C)
r
≤
24
r \leq 24
r
≤
24
or
r
>
−
2
r > -2
r
>
−
2
\newline
(D)
r
≤
−
16
r \leq -16
r
≤
−
16
or
r
>
14
r > 14
r
>
14
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Solve for
v
v
v
.
\newline
−
13
≥
v
−
3
>
−
19
-13 \geq v - 3 > -19
−
13
≥
v
−
3
>
−
19
\newline
Express your answer as a compound inequality with integers.
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Solve for
y
y
y
.
\newline
0
≤
y
+
20
<
5
0 \leq y + 20 < 5
0
≤
y
+
20
<
5
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
−
20
≤
y
<
−
15
-20 \leq y < -15
−
20
≤
y
<
−
15
\newline
(B)
−
20
≤
y
<
25
-20 \leq y < 25
−
20
≤
y
<
25
\newline
(C)
20
≤
y
<
25
20 \leq y < 25
20
≤
y
<
25
\newline
(D)
20
≤
y
<
−
15
20 \leq y < -15
20
≤
y
<
−
15
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Solve for
d
d
d
.
\newline
d
−
9
<
−
8
d - 9 < -8
d
−
9
<
−
8
or
d
−
6
>
−
1
d - 6 > -1
d
−
6
>
−
1
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
d
<
1
d < 1
d
<
1
or
d
≥
5
d \geq 5
d
≥
5
\newline
(B)
d
≤
1
d \leq 1
d
≤
1
or
d
≥
5
d \geq 5
d
≥
5
\newline
(C)
d
≤
1
d \leq 1
d
≤
1
or
d
>
5
d > 5
d
>
5
\newline
(D)
d
<
1
d < 1
d
<
1
or
d
>
5
d > 5
d
>
5
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Solve for
u
u
u
.
\newline
u
+
15
<
−
1
u + 15 < -1
u
+
15
<
−
1
or
u
+
14
>
11
u + 14 > 11
u
+
14
>
11
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
u
≤
−
16
u \leq -16
u
≤
−
16
or
u
≥
−
3
u \geq -3
u
≥
−
3
\newline
(B)
u
<
−
16
u < -16
u
<
−
16
or
u
>
−
3
u > -3
u
>
−
3
\newline
(C)
u
≤
−
16
u \leq -16
u
≤
−
16
or
u
>
−
3
u > -3
u
>
−
3
\newline
(D)
u
<
−
16
u < -16
u
<
−
16
or
u
≥
−
3
u \geq -3
u
≥
−
3
Get tutor help
Solve for
j
j
j
.
\newline
j
+
14
≤
5
j + 14 \leq 5
j
+
14
≤
5
or
j
+
5
≥
12
j + 5 \geq 12
j
+
5
≥
12
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
j
≤
−
9
j \leq -9
j
≤
−
9
or
j
≥
7
j \geq 7
j
≥
7
\newline
(B)
j
≤
−
9
j \leq -9
j
≤
−
9
or
j
≥
17
j \geq 17
j
≥
17
\newline
(C)
j
≤
19
j \leq 19
j
≤
19
or
j
≥
7
j \geq 7
j
≥
7
\newline
(D)
j
≤
19
j \leq 19
j
≤
19
or
j
≥
17
j \geq 17
j
≥
17
Get tutor help
Solve for
f
f
f
.
\newline
−
12
≤
f
+
1
<
18
-12 \leq f + 1 < 18
−
12
≤
f
+
1
<
18
\newline
Express your answer as a compound inequality with integers.
Get tutor help
Solve for
j
j
j
.
\newline
j
+
4
>
10
j + 4 > 10
j
+
4
>
10
or
j
−
3
<
−
11
j - 3 < -11
j
−
3
<
−
11
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
j
>
14
j > 14
j
>
14
or
j
<
−
14
j < -14
j
<
−
14
\newline
(B)
j
>
14
j > 14
j
>
14
or
j
<
−
8
j < -8
j
<
−
8
\newline
(C)
j
>
6
j > 6
j
>
6
or
j
<
−
14
j < -14
j
<
−
14
\newline
(D)
j
>
6
j > 6
j
>
6
or
j
<
−
8
j < -8
j
<
−
8
Get tutor help
Solve for
d
d
d
.
\newline
−
5
≤
d
+
15
≤
11
-5 \leq d + 15 \leq 11
−
5
≤
d
+
15
≤
11
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
10
≤
d
≤
−
4
10 \leq d \leq -4
10
≤
d
≤
−
4
\newline
(B)
−
20
≤
d
≤
26
-20 \leq d \leq 26
−
20
≤
d
≤
26
\newline
(C)
−
20
≤
d
≤
−
4
-20 \leq d \leq -4
−
20
≤
d
≤
−
4
\newline
(D)
10
≤
d
≤
26
10 \leq d \leq 26
10
≤
d
≤
26
Get tutor help
Solve for
t
t
t
.
\newline
4
≤
t
+
12
≤
6
4 \leq t + 12 \leq 6
4
≤
t
+
12
≤
6
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
−
8
≤
t
≤
18
-8 \leq t \leq 18
−
8
≤
t
≤
18
\newline
(B)
−
8
≤
t
≤
−
6
-8 \leq t \leq -6
−
8
≤
t
≤
−
6
\newline
(C)
16
≤
t
≤
−
6
16 \leq t \leq -6
16
≤
t
≤
−
6
\newline
(D)
16
≤
t
≤
18
16 \leq t \leq 18
16
≤
t
≤
18
Get tutor help
Solve for
x
x
x
.
\newline
−
3
<
x
−
5
<
8
-3 < x - 5 < 8
−
3
<
x
−
5
<
8
\newline
Express your answer as a compound inequality with integers.
Get tutor help
Solve for
b
b
b
.
\newline
b
+
16
<
17
b + 16 < 17
b
+
16
<
17
or
b
−
12
>
6
b - 12 > 6
b
−
12
>
6
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
b
<
1
b < 1
b
<
1
or
b
>
18
b > 18
b
>
18
\newline
(B)
1
<
b
<
18
1 < b < 18
1
<
b
<
18
\newline
(C)
1
≤
b
<
18
1 \leq b < 18
1
≤
b
<
18
\newline
(D)
b
≤
1
b \leq 1
b
≤
1
or
b
>
18
b > 18
b
>
18
Get tutor help
Solve for
d
d
d
.
\newline
19
>
d
+
15
≥
0
19 > d + 15 \geq 0
19
>
d
+
15
≥
0
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
4
≥
d
≥
−
15
4 \geq d \geq -15
4
≥
d
≥
−
15
\newline
(B)
4
>
d
≥
−
15
4 > d \geq -15
4
>
d
≥
−
15
\newline
(C)
d
>
4
d > 4
d
>
4
or
d
≤
−
15
d \leq -15
d
≤
−
15
\newline
(D)
d
≥
4
d \geq 4
d
≥
4
or
d
≤
−
15
d \leq -15
d
≤
−
15
Get tutor help
Solve for
h
h
h
.
\newline
18
>
h
−
2
>
4
18 > h - 2 > 4
18
>
h
−
2
>
4
\newline
Express your answer as a compound inequality with integers.
Get tutor help
Solve for
g
g
g
.
\newline
−
12
≤
g
+
2
<
15
-12 \leq g + 2 < 15
−
12
≤
g
+
2
<
15
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
−
14
≤
g
<
13
-14 \leq g < 13
−
14
≤
g
<
13
\newline
(B)
−
10
≤
g
<
17
-10 \leq g < 17
−
10
≤
g
<
17
\newline
(C)
−
14
≤
g
<
17
-14 \leq g < 17
−
14
≤
g
<
17
\newline
(D)
−
10
≤
g
<
13
-10 \leq g < 13
−
10
≤
g
<
13
Get tutor help
Solve for
x
x
x
.
\newline
−
8
x
+
44
≥
60
AND
−
4
x
+
50
<
58
-8 x+44 \geq 60 \quad \text { AND } \quad-4 x+50<58
−
8
x
+
44
≥
60
AND
−
4
x
+
50
<
58
\newline
Choose
1
1
1
answer:
\newline
(A)
x
>
−
2
x>-2
x
>
−
2
\newline
(B)
x
≤
−
2
x \leq-2
x
≤
−
2
\newline
(C)
x
=
−
2
x=-2
x
=
−
2
\newline
(D) There are no solutions
\newline
(E) All values of
x
x
x
are solutions
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Solve for
x
x
x
.
\newline
−
8
x
+
14
≥
60
OR
−
4
x
+
50
<
58
-8 x+14 \geq 60 \quad \text { OR } \quad-4 x+50<58
−
8
x
+
14
≥
60
OR
−
4
x
+
50
<
58
\newline
Choose
1
1
1
answer:
\newline
(A)
x
≤
−
23
4
x \leq-\frac{23}{4}
x
≤
−
4
23
or
x
>
−
2
x>-2
x
>
−
2
\newline
(B)
x
≤
−
23
4
x \leq-\frac{23}{4}
x
≤
−
4
23
\newline
(C)
x
>
−
2
x>-2
x
>
−
2
\newline
(D) There are no solutions
\newline
(E) All values of
x
x
x
are solutions
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