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Let’s check out your problem:
Solve for
r
r
r
.3(r + 7) + 7 < 1
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Math Problems
Algebra 1
Solve advanced linear inequalities
Full solution
Q.
Solve for
r
r
r
.
3
(
r
+
7
)
+
7
<
1
3(r + 7) + 7 < 1
3
(
r
+
7
)
+
7
<
1
Distribute
3
3
3
:
question_prompt: Solve for
r
r
r
in the inequality 3(r + 7) + 7 < 1.
Combine like terms:
Distribute
3
3
3
into
(
r
+
7
)
(r + 7)
(
r
+
7
)
. 3(r) + 3(7) + 7 < 1.
Add constants:
Combine like terms. 3r + 21 + 7 < 1.
Subtract
28
28
28
:
Add
21
21
21
and
7
7
7
together. 3r + 28 < 1.
Calculate difference:
Subtract
28
28
28
from both sides to isolate the variable term. 3r < 1 - 28.
Divide by
3
3
3
:
Calculate
1
−
28
1 - 28
1
−
28
. 3r < -27.
Calculate result:
Divide both sides by
3
3
3
to solve for
r
r
r
. r < -\frac{27}{3}.
Calculate result:
Divide both sides by
3
3
3
to solve for
r
r
r
. r < -27 / 3. Calculate
−
27
/
3
-27 / 3
−
27/3
. r < -9.
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