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Let’s check out your problem:
Solve for
f
f
f
.
2
(
f
−
16
)
+
7
≤
11
2(f - 16) + 7 \leq 11
2
(
f
−
16
)
+
7
≤
11
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Math Problems
Algebra 1
Solve advanced linear inequalities
Full solution
Q.
Solve for
f
f
f
.
2
(
f
−
16
)
+
7
≤
11
2(f - 16) + 7 \leq 11
2
(
f
−
16
)
+
7
≤
11
Distribute
2
2
2
:
Distribute
2
2
2
into the parentheses.
\newline
2
(
f
−
16
)
+
7
≤
11
2(f - 16) + 7 \leq 11
2
(
f
−
16
)
+
7
≤
11
\newline
2
f
−
32
+
7
≤
11
2f - 32 + 7 \leq 11
2
f
−
32
+
7
≤
11
Combine like terms:
Combine like terms on the left side of the inequality.
\newline
2
f
−
32
+
7
=
2
f
−
25
2f - 32 + 7 = 2f - 25
2
f
−
32
+
7
=
2
f
−
25
\newline
So,
2
f
−
25
≤
11
2f - 25 \leq 11
2
f
−
25
≤
11
Add
25
25
25
:
Add
25
25
25
to both sides of the inequality to isolate the term with the variable
f
f
f
.
\newline
2
f
−
25
+
25
≤
11
+
25
2f - 25 + 25 \leq 11 + 25
2
f
−
25
+
25
≤
11
+
25
\newline
2
f
≤
36
2f \leq 36
2
f
≤
36
Divide by
2
2
2
:
Divide both sides of the inequality by
2
2
2
to solve for
f
f
f
.
2
f
2
≤
36
2
\frac{2f}{2} \leq \frac{36}{2}
2
2
f
≤
2
36
f
≤
18
f \leq 18
f
≤
18
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