Answer:
f < 34
Step-by-step explanation:
Given inequality:
[tex]\dfrac{f}{2}-6 < 11[/tex]
To solve the inequality for f, begin by adding 6 to both sides of the inequality:
[tex]\dfrac{f}{2}-6 +6 < 11+6\\\\\\\dfrac{f}{2} < 17[/tex]
Now, multiply both sides by 2 to isolate f:
[tex]\dfrac{f}{2} \cdot 2 < 17 \cdot 2\\\\\\f < 34[/tex]
Therefore, the solution to the inequality is:
[tex]\LARGE\boxed{\boxed{f < 34}}[/tex]
