To solve the inequality [tex]\(3f - 11 > 13\)[/tex], we will follow these steps:
1. Isolate the term with [tex]\(f\)[/tex]: First, we need to isolate the term that contains [tex]\(f\)[/tex] by getting rid of the constant on the left side. To do this, add 11 to both sides of the inequality.
[tex]\[
3f - 11 + 11 > 13 + 11
\][/tex]
2. Simplify: Simplifying both sides, we have:
[tex]\[
3f > 24
\][/tex]
3. Solve for [tex]\(f\)[/tex]: Next, divide both sides of the inequality by 3 to isolate [tex]\(f\)[/tex]:
[tex]\[
f > \frac{24}{3}
\][/tex]
4. Simplify further: Simplifying the right side, we find:
[tex]\[
f > 8
\][/tex]
Thus, the solution to the inequality [tex]\(3f - 11 > 13\)[/tex] is:
[tex]\[
f > 8
\][/tex]
