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Math Problems
Grade 8
Solutions to inequalities
Which of the following describes all the solutions to the inequality
3
x
+
9
y
≥
24
3 x+9 y \geq 24
3
x
+
9
y
≥
24
when
y
=
−
2
y=-2
y
=
−
2
?
\newline
x
≤
−
6
x \leq-6
x
≤
−
6
\newline
x
≥
2
x \geq 2
x
≥
2
\newline
x
≤
3
x \leq 3
x
≤
3
\newline
x
≥
14
x \geq 14
x
≥
14
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Which of the
x
x
x
-values are solutions to the following inequality?
\newline
x
<
365
x < 365
x
<
365
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Is
x
=
9
x = 9
x
=
9
a solution to the inequality below?
\newline
4
>
x
4 > x
4
>
x
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
16
<
x
5
\begin{array}{r} -16<\frac{x}{5} \end{array}
−
16
<
5
x
\newline
x
=
−
140
x=-140
x
=
−
140
\newline
x
=
−
85
x=-85
x
=
−
85
\newline
x
=
−
35
x=-35
x
=
−
35
\newline
x
=
−
130
x=-130
x
=
−
130
Get tutor help
Which of the following is a solution to the inequality below?
\newline
g
<
−
9
g < -9
g
<
−
9
\newline
Choices:
\newline
(A)
g
=
−
2
g = -2
g
=
−
2
\newline
(B)
g
=
−
12
g = -12
g
=
−
12
\newline
(C)
g
=
−
9
g = -9
g
=
−
9
\newline
(D)
g
=
−
7
g = -7
g
=
−
7
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
6
≤
d
6 \leq d
6
≤
d
\newline
Multi-select Choices:
\newline
(A)
d
=
6
d = 6
d
=
6
\newline
(B)
d
=
2
d = 2
d
=
2
\newline
(C)
d
=
8
d = 8
d
=
8
\newline
(D)
d
=
7
d = 7
d
=
7
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Is
g
=
−
1
g = -1
g
=
−
1
a solution to the inequality below?
\newline
−
8
<
g
-8 < g
−
8
<
g
\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
r
≥
−
3
r \geq -3
r
≥
−
3
\newline
Multi-select Choices:
\newline
(A)
r
=
−
12
r = -12
r
=
−
12
\newline
(B)
r
=
−
5
r = -5
r
=
−
5
\newline
(C)
r
=
−
3
r = -3
r
=
−
3
\newline
(D) $r = \(-8\)
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
1
≤
y
1 \le y
1
≤
y
\newline
Multi-select Choices:
\newline
(A)
y
=
9
y = 9
y
=
9
\newline
(B)
y
=
4
y = 4
y
=
4
\newline
(C)
y
=
12
y = 12
y
=
12
\newline
(D)
y
=
1
y = 1
y
=
1
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Which of the following is a solution to the inequality below?
\newline
b
>
−
8
b > -8
b
>
−
8
\newline
Choices:
\newline
(A)
b
=
−
2
b = -2
b
=
−
2
\newline
(B)
b
=
−
12
b = -12
b
=
−
12
\newline
(C)
b
=
−
10
b = -10
b
=
−
10
\newline
(D)
b
=
−
11
b = -11
b
=
−
11
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Which of the following is a solution to the inequality below?
\newline
1
≥
m
1 \geq m
1
≥
m
\newline
Choices:
\newline
(A)
m
=
8
m = 8
m
=
8
\newline
(B)
m
=
7
m = 7
m
=
7
\newline
(C)
m
=
1
m = 1
m
=
1
\newline
(D)
m
=
9
m = 9
m
=
9
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Which of the following is a solution to the inequality below?
\newline
−
4
≥
h
-4 \geq h
−
4
≥
h
\newline
Choices:
\newline
(A)
h
=
−
1
h = -1
h
=
−
1
\newline
(B)
h
=
−
3
h = -3
h
=
−
3
\newline
(C)
h
=
−
4
h = -4
h
=
−
4
\newline
(D)
h
=
−
2
h = -2
h
=
−
2
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
11
≤
p
-11 \leq p
−
11
≤
p
\newline
Multi-select Choices:
\newline
(A)
p
=
−
7
p = -7
p
=
−
7
\newline
(B)
p
=
−
11
p = -11
p
=
−
11
\newline
(C)
p
=
−
6
p = -6
p
=
−
6
\newline
(D)
p
=
−
12
p = -12
p
=
−
12
Get tutor help
Which of the following is a solution to the inequality below?
\newline
4
≥
p
4 \geq p
4
≥
p
\newline
Choices:
\newline
(A)
p
=
8
p = 8
p
=
8
\newline
(B)
p
=
6
p = 6
p
=
6
\newline
(C)
p
=
3
p = 3
p
=
3
\newline
(D)
p
=
10
p = 10
p
=
10
Get tutor help
Which of the following is a solution to the inequality below?
\newline
2
≥
h
2 \geq h
2
≥
h
\newline
Choices:
\newline
(A)
h
=
5
h = 5
h
=
5
\newline
(B)
h
=
6
h = 6
h
=
6
\newline
(C)
h
=
4
h = 4
h
=
4
\newline
(D)
h
=
1
h = 1
h
=
1
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
1
≥
b
1 \geq b
1
≥
b
\newline
Multi-select Choices:
\newline
(A)
b
=
4
b = 4
b
=
4
\newline
(B)
b
=
1
b = 1
b
=
1
\newline
(C)
b
=
8
b = 8
b
=
8
\newline
(D)
b
=
6
b = 6
b
=
6
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
z
≥
−
6
z \geq -6
z
≥
−
6
\newline
Multi-select Choices:
\newline
(A)
z
=
−
2
z = -2
z
=
−
2
\newline
(B)
z
=
−
12
z = -12
z
=
−
12
\newline
(C)
z
=
−
11
z = -11
z
=
−
11
\newline
(D)
z
=
−
3
z = -3
z
=
−
3
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
7
≥
c
-7 \geq c
−
7
≥
c
\newline
Choices:
\newline
(A)
c
=
−
5
c = -5
c
=
−
5
\newline
(B)
c
=
−
4
c = -4
c
=
−
4
\newline
(C)
c
=
−
12
c = -12
c
=
−
12
\newline
(D)
c
=
−
6
c = -6
c
=
−
6
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
2
≤
k
-2 \leq k
−
2
≤
k
\newline
Choices:
\newline
(A)
k
=
−
2
k = -2
k
=
−
2
\newline
(B)
k
=
−
11
k = -11
k
=
−
11
\newline
(C)
k
=
−
8
k = -8
k
=
−
8
\newline
(D)
k
=
−
10
k = -10
k
=
−
10
Get tutor help
Which of the following is a solution to the inequality below?
\newline
11
<
w
11 < w
11
<
w
\newline
Choices:
\newline
(A)
w
=
2
w = 2
w
=
2
\newline
(B)
w
=
12
w = 12
w
=
12
\newline
(C)
w
=
1
w = 1
w
=
1
\newline
(D)
w
=
8
w = 8
w
=
8
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Which of the following numbers is NOT a solution
\newline
of the inequality
3
x
−
5
≥
4
−
3
x
3x - 5 \geq 4 - 3x
3
x
−
5
≥
4
−
3
x
?
\newline
A)
−
1
-1
−
1
\newline
B)
−
2
-2
−
2
\newline
C)
−
3
-3
−
3
\newline
D)
−
5
-5
−
5
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If
x
≠
0
x \neq 0
x
=
0
, which of the following values of
x
x
x
satisfies the inequality
x
+
4
x
≤
5
x+4x \leq 5
x
+
4
x
≤
5
?
\newline
I-
x
>
2
x>2
x
>
2
\newline
II-
1
≤
x
≤
4
1 \leq x \leq 4
1
≤
x
≤
4
\newline
III-
x
<
0
x<0
x
<
0
\newline
A Only I
\newline
B Only II
\newline
C Both I and III
\newline
D Both II and III
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
Get tutor help
Is
j
=
−
6
j = -6
j
=
−
6
a solution to the inequality below?
\newline
j
≤
−
5
j \leq -5
j
≤
−
5
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Is
k
=
−
10
k = -10
k
=
−
10
a solution to the inequality below?
\newline
k
<
−
10
k < -10
k
<
−
10
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Is
g
=
−
11
g = -11
g
=
−
11
a solution to the inequality below?
\newline
−
9
≥
g
-9 \geq g
−
9
≥
g
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
s
≤
4
s \leq 4
s
≤
4
\newline
Choices:
\newline
(A)
s
=
3
s = 3
s
=
3
\newline
(B)
s
=
8
s = 8
s
=
8
\newline
(C)
s
=
10
s = 10
s
=
10
\newline
(D)
s
=
12
s = 12
s
=
12
Get tutor help
Which of the following is a solution to the inequality below?
\newline
−
4
≤
f
-4 \leq f
−
4
≤
f
\newline
Choices:
\newline
(A)
f
=
−
11
f = -11
f
=
−
11
\newline
(B)
f
=
−
9
f = -9
f
=
−
9
\newline
(C)
f
=
−
2
f = -2
f
=
−
2
\newline
(D)
f
=
−
6
f = -6
f
=
−
6
Get tutor help
Which of the following is a solution to the inequality below?
\newline
x
≥
−
2
x \geq -2
x
≥
−
2
\newline
Choices:
\newline
(A)
x
=
−
1
x = -1
x
=
−
1
\newline
(B)
x
=
−
4
x = -4
x
=
−
4
\newline
(C)
x
=
−
5
x = -5
x
=
−
5
\newline
(D)
x
=
−
6
x = -6
x
=
−
6
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
5
≥
y
-5 \geq y
−
5
≥
y
\newline
Multi-select Choices:
\newline
(A)
y
=
−
11
y = -11
y
=
−
11
\newline
(B)
y
=
−
4
y = -4
y
=
−
4
\newline
(C)
y
=
−
9
y = -9
y
=
−
9
\newline
(D)
y
=
−
12
y = -12
y
=
−
12
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
n
≤
−
4
n \leq -4
n
≤
−
4
\newline
Multi-select Choices:
\newline
(A)
n
=
−
2
n = -2
n
=
−
2
\newline
(B)
n
=
−
7
n = -7
n
=
−
7
\newline
(C)
n
=
−
8
n = -8
n
=
−
8
\newline
(D)
n
=
−
4
n = -4
n
=
−
4
Get tutor help
Is
a
=
−
6
a = -6
a
=
−
6
a solution to the inequality below?
\newline
−
6
≥
a
-6 \geq a
−
6
≥
a
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Which of the following is a solution to the inequality below?
\newline
11
≤
z
11 \leq z
11
≤
z
\newline
Choices:
\newline
(A)
z
=
11
z = 11
z
=
11
\newline
(B)
z
=
4
z = 4
z
=
4
\newline
(C)
z
=
6
z = 6
z
=
6
\newline
(D)
z
=
9
z = 9
z
=
9
Get tutor help
Which of the following is a solution to the inequality below?
\newline
d
≤
2
d \leq 2
d
≤
2
\newline
Choices:
\newline
(A)
d
=
7
d = 7
d
=
7
\newline
(B)
d
=
2
d = 2
d
=
2
\newline
(C)
d
=
3
d = 3
d
=
3
\newline
(D)
d
=
12
d = 12
d
=
12
Get tutor help
Which of the following is a solution to the inequality below?
\newline
k
≤
−
9
k \leq -9
k
≤
−
9
\newline
Choices:
\newline
(A)
k
=
−
6
k = -6
k
=
−
6
\newline
(B)
k
=
−
11
k = -11
k
=
−
11
\newline
(C)
k
=
−
3
k = -3
k
=
−
3
\newline
(D)
k
=
−
5
k = -5
k
=
−
5
Get tutor help
Which of the following is a solution to the inequality below?
\newline
j
<
−
8
j < -8
j
<
−
8
\newline
Choices:
\newline
(A)
j
=
−
5
j = -5
j
=
−
5
\newline
(B)
j
=
−
8
j = -8
j
=
−
8
\newline
(C)
j
=
−
12
j = -12
j
=
−
12
\newline
(D)
j
=
−
4
j = -4
j
=
−
4
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
11
<
y
-11 < y
−
11
<
y
\newline
Multi-select Choices:
\newline
(A)
y
=
−
7
y = -7
y
=
−
7
\newline
(B)
y
=
−
4
y = -4
y
=
−
4
\newline
(C)
y
=
−
1
y = -1
y
=
−
1
\newline
(D)
y
=
−
8
y = -8
y
=
−
8
Get tutor help
Is
a
=
−
5
a = -5
a
=
−
5
a solution to the inequality below?
\newline
−
2
≥
a
-2 \geq a
−
2
≥
a
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Is
n
=
−
10
n = -10
n
=
−
10
a solution to the inequality below?
\newline
n
≤
−
3
n \leq -3
n
≤
−
3
\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
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
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
y
≤
12
y \leq 12
y
≤
12
\newline
Multi-select Choices:
\newline
(A)
y
=
11
y = 11
y
=
11
\newline
(B)
y
=
8
y = 8
y
=
8
\newline
(C)
y
=
7
y = 7
y
=
7
\newline
(D)
y
=
2
y = 2
y
=
2
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
p
≤
−
1
p \leq -1
p
≤
−
1
\newline
Multi-select Choices:
\newline
(A)
p
=
−
4
p = -4
p
=
−
4
\newline
(B)
p
=
−
9
p = -9
p
=
−
9
\newline
(C)
p
=
−
6
p = -6
p
=
−
6
\newline
(D)
p
=
−
10
p = -10
p
=
−
10
Get tutor help
Which of the following are solutions to the inequality below? Select all that apply.
\newline
1
<
u
1 < u
1
<
u
\newline
Multi-select Choices:
\newline
(A)
u
=
7
u = 7
u
=
7
\newline
(B)
u
=
11
u = 11
u
=
11
\newline
(C)
u
=
6
u = 6
u
=
6
\newline
(D)
u
=
2
u = 2
u
=
2
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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
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Which of the following is a solution to the inequality below?
\newline
11
<
f
11 < f
11
<
f
\newline
Choices:
\newline
(A)
f
=
8
f = 8
f
=
8
\newline
(B)
f
=
11
f = 11
f
=
11
\newline
(C)
f
=
12
f = 12
f
=
12
\newline
(D)
f
=
7
f = 7
f
=
7
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
y
≤
−
3
y \leq -3
y
≤
−
3
\newline
Multi-select Choices:
\newline
(A)
y
=
−
12
y = -12
y
=
−
12
\newline
(B)
y
=
−
5
y = -5
y
=
−
5
\newline
(C)
y
=
−
6
y = -6
y
=
−
6
\newline
(D)
y
=
−
8
y = -8
y
=
−
8
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Which of the following is a solution to the inequality below?
\newline
u
≤
2
u \leq 2
u
≤
2
\newline
Choices:
\newline
(A)
u
=
8
u = 8
u
=
8
\newline
(B)
u
=
2
u = 2
u
=
2
\newline
(C)
u
=
9
u = 9
u
=
9
\newline
(D)
u
=
12
u = 12
u
=
12
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Which of the following is a solution to the inequality below?
\newline
y
≥
10
y \geq 10
y
≥
10
\newline
Choices:
\newline
(A)
y
=
5
y = 5
y
=
5
\newline
(B)
y
=
6
y = 6
y
=
6
\newline
(C)
y
=
2
y = 2
y
=
2
\newline
(D)
y
=
11
y = 11
y
=
11
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
9
<
h
-9 < h
−
9
<
h
\newline
Multi-select Choices:
\newline
(A)
h
=
−
7
h = -7
h
=
−
7
\newline
(B)
h
=
−
4
h = -4
h
=
−
4
\newline
(C)
h
=
−
10
h = -10
h
=
−
10
\newline
(D)
h
=
−
8
h = -8
h
=
−
8
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Which of the following are solutions to the inequality below? Select all that apply.
\newline
−
4
<
w
-4 < w
−
4
<
w
\newline
Multi-select Choices:
\newline
(A)
w
=
−
6
w = -6
w
=
−
6
\newline
(B)
w
=
−
2
w = -2
w
=
−
2
\newline
(C)
w
=
−
7
w = -7
w
=
−
7
\newline
(D)
w
=
−
10
w = -10
w
=
−
10
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