# Solving Inequalities Problems

You should also notice all the processes in the inequality such as multiplication, subtraction, exponents, parentheses and such.

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Try it risk-free If you can solve linear equations, you can solve linear inequalities.

One easy way to remember the order of operations is to remember the word PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction).

Now, when you are solving for a variable, you will use the order of operations in reverse, so instead of beginning with parentheses and ending with addition/subtraction, you will begin with addition/subtraction and end with parentheses.

Take one thing at the time preferably beginning by isolating the variable from the constants.

When solving multi-step inequalities it is important to not forget to reverse the inequality sign when multiplying or dividing with negative numbers.

All the properties below are also true for inequalities involving ≥ and ≤.

The addition property of inequality says that adding the same number to each side of the inequality produces an equivalent inequality $$If \: x\frac$$ To solve a multi-step inequality you do as you did when solving multi-step equations.

Solving real-world problems that involve inequalities is very much like solving problems that involve equations.

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