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Math Problems
Grade 8
Solutions to inequalities
Which of the following are solutions to the inequality below? Select all that apply.
\newline
f
<
−
7
f < -7
f
<
−
7
\newline
Multi-select Choices:
\newline
(A)
f
=
−
5
f = -5
f
=
−
5
\newline
(B)
f
=
−
8
f = -8
f
=
−
8
\newline
(C)
f
=
−
10
f = -10
f
=
−
10
\newline
(D)
f
=
−
3
f = -3
f
=
−
3
Get tutor help
Which of the following is a solution to the inequality below?
\newline
y
≥
−
4
y \geq -4
y
≥
−
4
\newline
Choices:
\newline
(A)
y
=
−
10
y = -10
y
=
−
10
\newline
(B)
y
=
−
12
y = -12
y
=
−
12
\newline
(C)
y
=
−
3
y = -3
y
=
−
3
\newline
(D)
y
=
−
11
y = -11
y
=
−
11
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
1
≤
w
1 \leq w
1
≤
w
\newline
Multi-select Choices:
\newline
(A)
w
=
10
w = 10
w
=
10
\newline
(B)
w
=
4
w = 4
w
=
4
\newline
(C)
w
=
6
w = 6
w
=
6
\newline
(D)
w
=
1
w = 1
w
=
1
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
4
≤
y
-4 \leq y
−
4
≤
y
\newline
Choices:
\newline
(A)
y
=
−
4
y = -4
y
=
−
4
\newline
(B)
y
=
−
9
y = -9
y
=
−
9
\newline
(C)
y
=
−
12
y = -12
y
=
−
12
\newline
(D)
y
=
−
11
y = -11
y
=
−
11
Get tutor help
Which of the following is a solution to the inequality below?
\newline
j
≥
−
5
j \geq -5
j
≥
−
5
\newline
Choices:
\newline
(A)
j
=
−
9
j = -9
j
=
−
9
\newline
(B)
j
=
−
6
j = -6
j
=
−
6
\newline
(C)
j
=
−
12
j = -12
j
=
−
12
\newline
(D)
j
=
−
2
j = -2
j
=
−
2
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
n
<
−
2
n < -2
n
<
−
2
\newline
Multi-select Choices:
\newline
(A)
n
=
−
2
n = -2
n
=
−
2
\newline
(B)
n
=
−
11
n = -11
n
=
−
11
\newline
(C)
n
=
−
4
n = -4
n
=
−
4
\newline
(D)
n
=
−
10
n = -10
n
=
−
10
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
6
<
z
-6 < z
−
6
<
z
\newline
Multi-select Choices:
\newline
(A)
z
=
−
5
z = -5
z
=
−
5
\newline
(B)
z
=
−
10
z = -10
z
=
−
10
\newline
(C)
z
=
−
9
z = -9
z
=
−
9
\newline
(D)
z
=
−
6
z = -6
z
=
−
6
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
12
≥
f
-12 \geq f
−
12
≥
f
\newline
Choices:
\newline
(A)
f
=
−
12
f = -12
f
=
−
12
\newline
(B)
f
=
−
1
f = -1
f
=
−
1
\newline
(C)
f
=
−
9
f = -9
f
=
−
9
\newline
(D)
f
=
−
5
f = -5
f
=
−
5
Get tutor help
Which of the following is a solution to the inequality below?
\newline
b
>
−
3
b > -3
b
>
−
3
\newline
Choices:
\newline
(A)
b
=
−
7
b = -7
b
=
−
7
\newline
(B)
b
=
−
2
b = -2
b
=
−
2
\newline
(C)
b
=
−
3
b = -3
b
=
−
3
\newline
(D)
b
=
−
5
b = -5
b
=
−
5
Get tutor help
Is
v
=
−
4
v = -4
v
=
−
4
a solution to the inequality below?
\newline
v
≥
−
12
v \geq -12
v
≥
−
12
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
11
≥
c
11 \geq c
11
≥
c
\newline
Multi-select Choices:
\newline
(A)
c
=
1
c = 1
c
=
1
\newline
(B)
c
=
9
c = 9
c
=
9
\newline
(C)
c
=
6
c = 6
c
=
6
\newline
(D)
c
=
7
c = 7
c
=
7
Get tutor help
Is
t
=
−
6
t = -6
t
=
−
6
a solution to the inequality below?
\newline
−
4
≥
t
-4 \geq t
−
4
≥
t
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
8
≤
r
8 \leq r
8
≤
r
\newline
Choices:
\newline
(A)
r
=
5
r = 5
r
=
5
\newline
(B)
r
=
7
r = 7
r
=
7
\newline
(C)
r
=
2
r = 2
r
=
2
\newline
(D)
r
=
8
r = 8
r
=
8
Get tutor help
Is
c
=
−
2
c = -2
c
=
−
2
a solution to the inequality below?
\newline
c
<
−
6
c < -6
c
<
−
6
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
5
≥
u
-5 \geq u
−
5
≥
u
\newline
Choices:
\newline
(A)
u
=
−
3
u = -3
u
=
−
3
\newline
(B)
u
=
−
8
u = -8
u
=
−
8
\newline
(C)
u
=
−
2
u = -2
u
=
−
2
\newline
(D)
u
=
−
4
u = -4
u
=
−
4
Get tutor help
Which of the following is a solution to the inequality below?
\newline
x
>
−
5
x > -5
x
>
−
5
\newline
Choices:
\newline
(A)
x
=
−
1
x = -1
x
=
−
1
\newline
(B)
x
=
−
8
x = -8
x
=
−
8
\newline
(C)
x
=
−
10
x = -10
x
=
−
10
\newline
(D)
x
=
−
11
x = -11
x
=
−
11
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
1
≤
u
-1 \leq u
−
1
≤
u
\newline
Choices:
\newline
(A)
u
=
−
8
u = -8
u
=
−
8
\newline
(B)
u
=
−
1
u = -1
u
=
−
1
\newline
(C)
u
=
−
6
u = -6
u
=
−
6
\newline
(D)
u
=
−
4
u = -4
u
=
−
4
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
6
>
w
-6 > w
−
6
>
w
\newline
Multi-select Choices:
\newline
(A)
w
=
−
4
w = -4
w
=
−
4
\newline
(B)
w
=
−
3
w = -3
w
=
−
3
\newline
(C)
w
=
−
6
w = -6
w
=
−
6
\newline
(D)
w
=
−
7
w = -7
w
=
−
7
Get tutor help
Which of the following is a solution to the inequality below?
\newline
6
<
s
6 < s
6
<
s
\newline
Choices:
\newline
(A)
s
=
7
s = 7
s
=
7
\newline
(B)
s
=
6
s = 6
s
=
6
\newline
(C)
s
=
2
s = 2
s
=
2
\newline
(D)
s
=
5
s = 5
s
=
5
Get tutor help
Is
b
=
−
3
b = -3
b
=
−
3
a solution to the inequality below?
\newline
−
12
≤
b
-12 \leq b
−
12
≤
b
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Is
f
=
−
10
f = -10
f
=
−
10
a solution to the inequality below?
\newline
−
1
≤
f
-1 \leq f
−
1
≤
f
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
d
<
−
9
d < -9
d
<
−
9
\newline
Choices:
\newline
(A)
d
=
−
9
d = -9
d
=
−
9
\newline
(B)
d
=
−
10
d = -10
d
=
−
10
\newline
(C)
d
=
−
7
d = -7
d
=
−
7
\newline
(D)
d
=
−
5
d = -5
d
=
−
5
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
6
≥
x
-6 \geq x
−
6
≥
x
\newline
Choices:
\newline
(A)
x
=
−
3
x = -3
x
=
−
3
\newline
(B)
x
=
−
4
x = -4
x
=
−
4
\newline
(C)
x
=
−
7
x = -7
x
=
−
7
\newline
(D)
x
=
−
1
x = -1
x
=
−
1
Get tutor help
Is
f
=
−
9
f = -9
f
=
−
9
a solution to the inequality below?
\newline
f
<
−
6
f < -6
f
<
−
6
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
x
≥
6
x \geq 6
x
≥
6
\newline
Choices:
\newline
(A)
x
=
2
x = 2
x
=
2
\newline
(B)
x
=
5
x = 5
x
=
5
\newline
(C)
x
=
1
x = 1
x
=
1
\newline
(D)
x
=
7
x = 7
x
=
7
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
a
≤
6
a \leq 6
a
≤
6
\newline
Multi-select Choices:
\newline
(A)
a
=
6
a = 6
a
=
6
\newline
(B)
a
=
9
a = 9
a
=
9
\newline
(C)
a
=
8
a = 8
a
=
8
\newline
(D)
a
=
10
a = 10
a
=
10
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
1
≤
p
-1 \leq p
−
1
≤
p
\newline
Choices:
\newline
(A)
p
=
−
1
p = -1
p
=
−
1
\newline
(B)
p
=
−
2
p = -2
p
=
−
2
\newline
(C)
p
=
−
9
p = -9
p
=
−
9
\newline
(D)
p
=
−
3
p = -3
p
=
−
3
Get tutor help
Which of the following is a solution to the inequality below?
\newline
f
>
−
4
f > -4
f
>
−
4
\newline
Choices:
\newline
(A)
f
=
−
9
f = -9
f
=
−
9
\newline
(B)
f
=
−
5
f = -5
f
=
−
5
\newline
(C)
f
=
−
10
f = -10
f
=
−
10
\newline
(D)
f
=
−
1
f = -1
f
=
−
1
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
3
<
f
3 < f
3
<
f
\newline
Multi-select Choices:
\newline
(A)
f
=
8
f = 8
f
=
8
\newline
(B)
f
=
2
f = 2
f
=
2
\newline
(C)
f
=
9
f = 9
f
=
9
\newline
(D)
f
=
10
f = 10
f
=
10
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
10
>
z
-10 > z
−
10
>
z
\newline
Choices:
\newline
(A)
z
=
−
11
z = -11
z
=
−
11
\newline
(B)
z
=
−
10
z = -10
z
=
−
10
\newline
(C)
z
=
−
3
z = -3
z
=
−
3
\newline
(D)
z
=
−
7
z = -7
z
=
−
7
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
4
<
z
-4 < z
−
4
<
z
\newline
Choices:
\newline
(A)
z
=
−
4
z = -4
z
=
−
4
\newline
(B)
z
=
−
6
z = -6
z
=
−
6
\newline
(C)
z
=
−
12
z = -12
z
=
−
12
\newline
(D)
z
=
−
2
z = -2
z
=
−
2
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
k
<
−
1
k < -1
k
<
−
1
\newline
Multi-select Choices:
\newline
(A)
k
=
−
9
k = -9
k
=
−
9
\newline
(B)
k
=
−
3
k = -3
k
=
−
3
\newline
(C)
k
=
−
12
k = -12
k
=
−
12
\newline
(D)
k
=
−
7
k = -7
k
=
−
7
Get tutor help
Is
a
=
−
1
a = -1
a
=
−
1
a solution to the inequality below?
\newline
a
≤
−
9
a \leq -9
a
≤
−
9
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
6
<
d
-6 < d
−
6
<
d
\newline
Multi-select Choices:
\newline
(A)
d
=
−
10
d = -10
d
=
−
10
\newline
(B)
d
=
−
1
d = -1
d
=
−
1
\newline
(C)
d
=
−
3
d = -3
d
=
−
3
\newline
(D)
d
=
−
7
d = -7
d
=
−
7
Get tutor help
Which of the following is a solution to the inequality below?
\newline
w
≥
9
w \geq 9
w
≥
9
\newline
Choices:
\newline
(A)
w
=
3
w = 3
w
=
3
\newline
(B)
w
=
4
w = 4
w
=
4
\newline
(C)
w
=
8
w = 8
w
=
8
\newline
(D)
w
=
10
w = 10
w
=
10
Get tutor help
Is
t
=
−
4
t = -4
t
=
−
4
a solution to the inequality below?
\newline
t
≤
−
5
t \leq -5
t
≤
−
5
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
a
≥
1
a \geq 1
a
≥
1
\newline
Multi-select Choices:
\newline
(A)
a
=
8
a = 8
a
=
8
\newline
(B)
a
=
4
a = 4
a
=
4
\newline
(C)
a
=
12
a = 12
a
=
12
\newline
(D)
a
=
3
a = 3
a
=
3
Get tutor help
Is
s
=
−
9
s = -9
s
=
−
9
a solution to the inequality below?
\newline
s
≥
−
10
s \geq -10
s
≥
−
10
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is an integer?
\newline
Choices:
\newline
(A)
5.237
5.237
5.237
\newline
(B)
−
9
-9
−
9
\newline
(C)
5
\sqrt{5}
5
\newline
(D)
10
\sqrt{10}
10
Get tutor help
Which of the following is a whole number?
\newline
Choices:
\newline
(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
−
8
-8
−
8
\newline
(C)
6
10
\frac{6}{10}
10
6
\newline
(D)
0
0
0
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
42
≥
−
80
k
+
5
-42 \geq \frac{-80}{k}+5
−
42
≥
k
−
80
+
5
\newline
(
(
(
1
)
1)
1
)
k
=
8
k=8
k
=
8
\newline
(
(
(
2
)
2)
2
)
k
=
4
k=4
k
=
4
\newline
(
(
(
3
)
3)
3
)
k
=
1
k=1
k
=
1
\newline
(
(
(
4
)
4)
4
)
k
=
10
k=10
k
=
10
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
f
<
7
f<7
f
<
7
\newline
Multi-select Choices:
\newline
(A)
f
=
5
f=5
f
=
5
\newline
(B)
f
=
8
f=8
f
=
8
\newline
(C)
f
=
10
f=10
f
=
10
\newline
(D)
f
=
3
f=3
f
=
3
Get tutor help
Is
u
=
11
u = 11
u
=
11
a solution to the inequality below?
\newline
u
>
7
u > 7
u
>
7
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
m
>
5
m > 5
m
>
5
\newline
Multi-select Choices:
\newline
(A)
m
=
4
m = 4
m
=
4
\newline
(B)
m
=
1
m = 1
m
=
1
\newline
(C)
m
=
12
m = 12
m
=
12
\newline
(D)
m
=
9
m = 9
m
=
9
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Which of the following is a solution to the inequality below?
\newline
5
>
d
5 > d
5
>
d
\newline
Choices:
\newline
(A)
d
=
10
d=10
d
=
10
\newline
(B)
d
=
7
d=7
d
=
7
\newline
(C)
d
=
1
d=1
d
=
1
\newline
(D)
d
=
8
d=8
d
=
8
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
v
>
12
v>12
v
>
12
\newline
Multi-select Choices:
\newline
(A)
v
=
12
v=12
v
=
12
\newline
(B)
v
=
4
v=4
v
=
4
\newline
(C)
v
=
8
v=8
v
=
8
\newline
(D)
v
=
5
v=5
v
=
5
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
q
<
9
q<9
q
<
9
\newline
Multi-select Choices:
\newline
(A)
q
=
5
q=5
q
=
5
\newline
(B)
q
=
11
q=11
q
=
11
\newline
(C)
q
=
7
q=7
q
=
7
\newline
(D)
q
=
12
q=12
q
=
12
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Which of the following is a solution to the inequality below?
\newline
s
>
8
s>8
s
>
8
\newline
Choices:
\newline
(A)
s
=
1
s=1
s
=
1
\newline
(B)
s
=
4
s=4
s
=
4
\newline
(C)
s
=
3
s=3
s
=
3
\newline
(D)
s
=
11
s=11
s
=
11
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The solutions to the inequality
\newline
(
2
−
x
)
(
x
+
1
)
x
<
0
(2-x)(x+1)x < 0
(
2
−
x
)
(
x
+
1
)
x
<
0
are:
\newline
A:
\newline
x
>
2
x > 2
x
>
2
\newline
B:
\newline
0
<
x
<
1
0 < x < 1
0
<
x
<
1
or
\newline
x
>
2
x > 2
x
>
2
\newline
C:
\newline
x
<
−
1
x < -1
x
<
−
1
or
\newline
0
<
x
<
2
0 < x < 2
0
<
x
<
2
\newline
D:
\newline
−
1
<
x
<
0
-1 < x < 0
−
1
<
x
<
0
or
\newline
x
>
2
x > 2
x
>
2
\newline
E:
\newline
−
1
<
x
<
0
-1 < x < 0
−
1
<
x
<
0
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Which of the following values are solutions to the inequality
4
x
+
10
>
−
6
?
4 x+10>-6 ?
4
x
+
10
>
−
6
?
\newline
I.
−
1
-1
−
1
\newline
II.
−
4
-4
−
4
\newline
III.
4
4
4
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
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