What is the difference between solving multi step equations and multi step inequalities?

When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).

The main difference between solving multi-step equations and multi-step inequalities lies in the nature of the solution sets. In equations, the goal is to find the value(s) of the variable(s) that make the equation true, while in inequalities, the goal is to find the range of values for the variable(s) that satisfy the given inequality. Additionally, the process for solving multi-step equations and multi-step inequalities is similar, involving the application of various algebraic operations to isolate the variable(s). However, when solving multi-step inequalities, it's important to keep track of the direction of the inequality symbol and adjust operations accordingly.