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Math Problems
Algebra 2
Solve linear inequalities
Solve for
n
n
n
.
\newline
−
5
>
n
−
2
>
−
15
-5 > n - 2 > -15
−
5
>
n
−
2
>
−
15
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
−
7
>
n
>
−
17
-7 > n > -17
−
7
>
n
>
−
17
\newline
(B)
−
3
>
n
>
−
17
-3 > n > -17
−
3
>
n
>
−
17
\newline
(C)
−
3
>
n
>
−
13
-3 > n > -13
−
3
>
n
>
−
13
\newline
(D)
−
7
>
n
>
−
13
-7 > n > -13
−
7
>
n
>
−
13
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Solve for
g
g
g
.
2
(
g
+
15
)
≤
10
2(g + 15) \leq 10
2
(
g
+
15
)
≤
10
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Solve for
g
g
g
.
9
(
g
−
17
)
≥
−
9
9(g - 17) \geq -9
9
(
g
−
17
)
≥
−
9
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Solve for
j
j
j
.
\newline
3
(
j
+
18
)
+
1
≥
7
3(j + 18) + 1 \geq 7
3
(
j
+
18
)
+
1
≥
7
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Solve for
m
m
m
.
2
(
m
−
15
)
≥
−
10
2(m - 15) \geq -10
2
(
m
−
15
)
≥
−
10
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Solve for
p
p
p
.
\newline
2
(
p
+
16
)
>
14
2(p + 16) > 14
2
(
p
+
16
)
>
14
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Solve for
z
z
z
.
\newline
3
(
z
+
19
)
>
12
3(z + 19) > 12
3
(
z
+
19
)
>
12
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Solve for
r
r
r
.
4
(
r
−
6
)
>
16
4(r - 6) > 16
4
(
r
−
6
)
>
16
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Solve for
p
p
p
.
\newline
2
(
p
+
16
)
>
10
2(p + 16) > 10
2
(
p
+
16
)
>
10
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Solve for
t
t
t
.
\newline
8
(
t
−
13
)
+
3
<
−
13
8(t - 13) + 3 < -13
8
(
t
−
13
)
+
3
<
−
13
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Solve for
n
n
n
.
\newline
3
(
n
+
11
)
+
10
<
4
3(n + 11) + 10 < 4
3
(
n
+
11
)
+
10
<
4
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Solve for
h
h
h
.
\newline
2
(
h
+
14
)
−
18
≤
−
2
2(h + 14) - 18 \leq -2
2
(
h
+
14
)
−
18
≤
−
2
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Solve for
m
m
m
.
7
(
m
+
1
)
+
17
>
3
7(m + 1) + 17 > 3
7
(
m
+
1
)
+
17
>
3
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Solve for
f
f
f
.
\newline
4
(
f
−
1
)
<
20
4(f - 1) < 20
4
(
f
−
1
)
<
20
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Solve for
f
f
f
.
3
(
f
−
14
)
≤
6
3(f - 14) \leq 6
3
(
f
−
14
)
≤
6
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Solve for
j
j
j
.
\newline
3
(
j
−
1
)
−
7
>
2
3(j - 1) - 7 > 2
3
(
j
−
1
)
−
7
>
2
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Solve for
u
u
u
.
\newline
6
(
u
−
16
)
>
12
6(u - 16) > 12
6
(
u
−
16
)
>
12
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Solve for
s
s
s
.
\newline
2
(
s
+
18
)
−
2
>
4
2(s + 18) - 2 > 4
2
(
s
+
18
)
−
2
>
4
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Solve for
z
z
z
.
\newline
5
(
z
−
2
)
≥
−
5
5(z - 2) \geq -5
5
(
z
−
2
)
≥
−
5
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Solve for
y
y
y
.
\newline
4
(
y
−
10
)
−
14
>
6
4(y - 10) - 14 > 6
4
(
y
−
10
)
−
14
>
6
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Solve for
s
s
s
.
\newline
10
(
s
−
16
)
−
13
>
7
10(s - 16) - 13 > 7
10
(
s
−
16
)
−
13
>
7
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Solve for
r
r
r
.
\newline
6
(
r
−
1
)
−
2
>
10
6(r - 1) - 2 > 10
6
(
r
−
1
)
−
2
>
10
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Solve for
f
f
f
.
3
(
f
+
6
)
>
6
3(f + 6) > 6
3
(
f
+
6
)
>
6
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Solve for
s
s
s
.
\newline
6
(
s
−
6
)
>
−
6
6(s - 6) > -6
6
(
s
−
6
)
>
−
6
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Solve for
f
f
f
.
2
(
f
−
12
)
≤
−
6
2(f - 12) \leq -6
2
(
f
−
12
)
≤
−
6
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Solve for
w
w
w
.
\newline
2
(
w
+
5
)
<
20
2(w + 5) < 20
2
(
w
+
5
)
<
20
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3
(
2
n
−
2
)
−
1
=
9
4
3(2n-2)-1=\frac{9}{4}
3
(
2
n
−
2
)
−
1
=
4
9
given the equation what is the value of
2
n
−
2
2n-2
2
n
−
2
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6
(
4
+
3
x
)
=
7
(
x
−
1
)
+
1
6(4+3 x)=7(x-1)+1
6
(
4
+
3
x
)
=
7
(
x
−
1
)
+
1
\newline
For questions
4
4
4
to
6
6
6
, solve
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Find
y
y
y
value
\newline
3
(
2
−
y
)
=
y
−
14
3(2-y)=y-14
3
(
2
−
y
)
=
y
−
14
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Solve.
\newline
3
(
5
x
−
4
)
=
3
3(5 x-4)=3
3
(
5
x
−
4
)
=
3
\newline
Answer:
x
=
x=
x
=
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Use the distributive property to write an equivalent expression.
\newline
5
(
5
f
+
6
g
−
7
)
5(5 f+6 g-7)
5
(
5
f
+
6
g
−
7
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
6
(
8
h
+
3
k
−
7
)
6(8 h+3 k-7)
6
(
8
h
+
3
k
−
7
)
\newline
Answer:
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Rewrite in simplest terms:
2
(
6
c
−
10
c
−
5
)
−
8
c
2(6 c-10 c-5)-8 c
2
(
6
c
−
10
c
−
5
)
−
8
c
\newline
Answer:
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Solve for
x
x
x
.
\newline
Your answer must be simplified.
\newline
x
−
6
≥
−
20
\frac{x}{-6} \geq-20
−
6
x
≥
−
20
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Solve for
x
x
x
.
\newline
Your answer must be simplified.
\newline
x
7
≥
−
6
\frac{x}{7} \geq-6
7
x
≥
−
6
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Solve for
x
x
x
.
\newline
Your answer must be simplified.
\newline
x
25
>
5
\frac{x}{25}>5
25
x
>
5
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Solve for
x
x
x
.
\newline
Your answer must be simplified.
\newline
x
3
≥
−
33
\frac{x}{3} \geq-33
3
x
≥
−
33
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