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Let’s check out your problem:
Which of the following are solutions to the inequality below? Select all that apply.
\newline
-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
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Math Problems
Grade 8
Solutions to inequalities
Full solution
Q.
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
Understand the inequality:
Understand the inequality.
\newline
The inequality -11 < y means that
y
y
y
must be greater than
−
11
-11
−
11
.
Test choice (A):
Test choice (A)
y
=
−
7
y = -7
y
=
−
7
. Plug in
y
=
−
7
y = -7
y
=
−
7
into the inequality -11 < y. -11 < -7 This is true because
−
7
-7
−
7
is greater than
−
11
-11
−
11
.
Test choice (B):
Test choice (B)
y
=
−
4
y = -4
y
=
−
4
.
\newline
Plug in
y
=
−
4
y = -4
y
=
−
4
into the inequality -11 < y.
\newline
-11 < -4
\newline
This is true because
−
4
-4
−
4
is greater than
−
11
-11
−
11
.
Test choice (C):
Test choice (C)
y
=
−
1
y = -1
y
=
−
1
.
\newline
Plug in
y
=
−
1
y = -1
y
=
−
1
into the inequality -11 < y.
\newline
-11 < -1
\newline
This is true because
−
1
-1
−
1
is greater than
−
11
-11
−
11
.
Test choice (D):
Test choice (D)
y
=
−
8
y = -8
y
=
−
8
.
\newline
Plug in
y
=
−
8
y = -8
y
=
−
8
into the inequality -11 < y.
\newline
-11 < -8
\newline
This is true because
−
8
-8
−
8
is greater than
−
11
-11
−
11
.
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Question
Solve for
w
w
w
.
\newline
w
−
1
+
7
>
9
\frac{w}{-1} + 7 > 9
−
1
w
+
7
>
9
\newline
______
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Solve for
u
u
u
.
\newline
6.4
u
<
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+
6.8
u
6.4u < 3.84 + 6.8u
6.4
u
<
3.84
+
6.8
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\newline
\newline
Write your answer with
u
u
u
first, followed by an inequality symbol.
\newline
______
\newline
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Solve for
t
t
t
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
12
t
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<
−
5
t
+
36
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Solve for
m
m
m
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
8
m
+
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<
−
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m
+
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8m + 95 < -87m + 5
8
m
+
95
<
−
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m
+
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Solve for
r
r
r
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
35
r
−
21
<
−
35
r
+
19
35r-21 < -35r+19
35
r
−
21
<
−
35
r
+
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Question
Solve for
x
x
x
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
54
x
+
64
≥
49
x
+
59
54x + 64 \geq 49x + 59
54
x
+
64
≥
49
x
+
59
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Posted 10 months ago
Question
Solve for
w
w
w
.\ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
53
w
+
13
<
56
w
+
16
53w+13 < 56w+16
53
w
+
13
<
56
w
+
16
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Question
Solve for
p
p
p
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
−
7
p
−
4
>
26
p
−
94
-7p - 4 > 26p - 94
−
7
p
−
4
>
26
p
−
94
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Question
Solve for
d
d
d
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
−
23
d
+
81
≤
−
98
d
+
1
-23d + 81 \leq -98d + 1
−
23
d
+
81
≤
−
98
d
+
1
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Question
Solve for
b
b
b
. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
30
b
+
53
≥
18
b
−
83
30b + 53 \geq 18b - 83
30
b
+
53
≥
18
b
−
83
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