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Let’s check out your problem:
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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Home
Math Problems
Grade 8
Solve multi-step inequalities
Full solution
Q.
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
Isolate variable term:
Isolate the variable term by adding
98
d
98d
98
d
to both sides of the inequality.
\newline
−
23
d
+
81
+
98
d
≤
−
98
d
+
1
+
98
d
-23d + 81 + 98d \leq -98d + 1 + 98d
−
23
d
+
81
+
98
d
≤
−
98
d
+
1
+
98
d
\newline
75
d
+
81
≤
1
75d + 81 \leq 1
75
d
+
81
≤
1
Subtract to isolate term:
Subtract
81
81
81
from both sides to isolate the term with the variable
d
d
d
.
\newline
75
d
+
81
−
81
≤
1
−
81
75d + 81 - 81 \leq 1 - 81
75
d
+
81
−
81
≤
1
−
81
\newline
75
d
≤
−
80
75d \leq -80
75
d
≤
−
80
Divide to solve for d:
Divide both sides by
75
75
75
to solve for
d
d
d
.
\newline
75
d
75
≤
−
80
75
\frac{75d}{75} \leq \frac{-80}{75}
75
75
d
≤
75
−
80
\newline
d
≤
−
80
75
d \leq \frac{-80}{75}
d
≤
75
−
80
Reduce fraction:
Reduce the
fraction
−
80
75
-\frac{80}{75}
−
75
80
to its lowest terms.
\newline
−
80
75
-\frac{80}{75}
−
75
80
can be simplified by dividing both numerator and denominator by
5
5
5
.
\newline
d
≤
−
16
15
d \leq -\frac{16}{15}
d
≤
−
15
16
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w
w
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\newline
w
−
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+
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>
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\frac{w}{-1} + 7 > 9
−
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w
+
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>
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\newline
______
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\newline
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\newline
\newline
Write your answer with
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\newline
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\newline
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t
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\newline
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\newline
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Solve for
r
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. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
\newline
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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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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
<
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w
+
16
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53
w
+
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<
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w
+
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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
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
−
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Question
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
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4
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?
\newline
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