To solve the inequality, we begin by subtracting 7 from both sides of the equation:
5f + 7 - 7 < 22 - 7
This simplifies to:
5f < 15
Next, we divide both sides of the equation by 5 to isolate the variable f:
(5f)/5 < 15/5
This simplifies to:
f < 3
Therefore, the solution to the inequality 5f + 7 < 22 is f < 3.