Answer :

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]