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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
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
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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
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
Understand the inequality:
Understand the inequality.
\newline
The inequality
p
≤
−
1
p \leq -1
p
≤
−
1
means that
p
p
p
can be any number
less than or equal to
−
1
-1
−
1
.
Check for
p
=
−
4
p = -4
p
=
−
4
:
Check if
p
=
−
4
p = -4
p
=
−
4
is a solution.
\newline
Substitute
p
p
p
with
−
4
-4
−
4
into the inequality.
\newline
−
4
≤
−
1
-4 \leq -1
−
4
≤
−
1
\newline
Since
−
4
-4
−
4
is less than
−
1
-1
−
1
, the inequality holds true.
Check for
p
=
−
9
p = -9
p
=
−
9
:
Check if
p
=
−
9
p = -9
p
=
−
9
is a solution.
\newline
Substitute
p
p
p
with
−
9
-9
−
9
into the inequality.
\newline
−
9
≤
−
1
-9 \leq -1
−
9
≤
−
1
\newline
Since
−
9
-9
−
9
is less than
−
1
-1
−
1
, the inequality holds true.
Check for
p
=
−
6
p = -6
p
=
−
6
:
Check if
p
=
−
6
p = -6
p
=
−
6
is a solution.
\newline
Substitute
p
p
p
with
−
6
-6
−
6
into the inequality.
\newline
−
6
≤
−
1
-6 \leq -1
−
6
≤
−
1
\newline
Since
−
6
-6
−
6
is less than
−
1
-1
−
1
, the inequality holds true.
Check for
p
=
−
10
p = -10
p
=
−
10
:
Check if
p
=
−
10
p = -10
p
=
−
10
is a solution.
\newline
Substitute
p
p
p
with
−
10
-10
−
10
into the inequality.
\newline
−
10
≤
−
1
-10 \leq -1
−
10
≤
−
1
\newline
Since
−
10
-10
−
10
is less than
−
1
-1
−
1
, the inequality holds true.
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w
w
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\newline
w
−
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>
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\frac{w}{-1} + 7 > 9
−
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\newline
______
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\newline
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\newline
\newline
Write your answer with
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first, followed by an inequality symbol.
\newline
______
\newline
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\newline
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\newline
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\newline
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Solve for
x
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. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
54
x
+
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≥
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+
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x
+
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Question
Solve for
w
w
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\newline
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Question
Solve for
p
p
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. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
−
7
p
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>
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p
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−
7
p
−
4
>
26
p
−
94
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Question
Solve for
d
d
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. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
−
23
d
+
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≤
−
98
d
+
1
-23d + 81 \leq -98d + 1
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23
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+
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≤
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Question
Solve for
b
b
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. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
30
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+
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≥
18
b
−
83
30b + 53 \geq 18b - 83
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b
+
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≥
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−
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