# Solving the Inequality 5f + 7 > 22

An inequality is an expression that contains a greater than, less than, or equal to sign. Inequalities can have one or more variables and can be solved using algebraic techniques. In this article, we will be looking at how to solve the inequality 5f + 7 > 22. We will go through the steps of solving this inequality and explain the logic behind each step.

## Understanding the Inequality The inequality 5f + 7 > 22 can be written in a more readable form as 5f > 15. This means that we are looking for the value of f such that when we multiply it by 5 and add 7, the result is greater than 22. To solve this inequality, we need to subtract 7 from both sides and then divide both sides by 5.

## Solving the Inequality The first step is to subtract 7 from both sides of the inequality. This will give us 5f > 8. Then, we need to divide both sides by 5. This will give us f > 1.6. We can also write this as f > 1.6 or f ≥ 1.6. This means that for the inequality 5f + 7 > 22 to be true, the value of f must be greater than or equal to 1.6. The answer we obtained, f > 1.6 or f ≥ 1.6, can be interpreted as follows: any value of f that is greater than 1.6 will make the inequality true. This means that if we plug in any value of f that is greater than 1.6 into the inequality 5f + 7 > 22, the result will be true. 