Answer :
To solve the inequality [tex]\frac{f}{17} + 84 \le 79[/tex], follow these steps:
Isolate the variable term:
Start by removing 84 from the left side of the inequality by subtracting 84 from both sides:
[tex]\frac{f}{17} + 84 - 84 \le 79 - 84[/tex]
Simplify this to:
[tex]\frac{f}{17} \le -5[/tex]
Solve for [tex]f[/tex]:
To isolate [tex]f[/tex], multiply both sides of the inequality by 17 (the denominator of the fraction). Make sure to keep the inequality direction the same, since you are multiplying by a positive number:
[tex]17 \times \frac{f}{17} \le 17 \times (-5)[/tex]
Simplify:
[tex]f \le -85[/tex]
Therefore, the solution to the inequality is [tex]f \le -85[/tex]. This means that [tex]f[/tex] can be any number that is less than or equal to [tex]-85[/tex].
