Multistep inequalities I

An **inequality** is an expression that involves an inequality sign (such as < , ≤ , > or ≥) instead of an equals sign.

**Solving linear inequalities** uses similar methods as solving multi-step equations (perform the same operation on both sides of the inequality), except that there are extra rules when using multiplication and division. An **inequality remains unchanged** if:

- the same number is added to both sides of the inequatily.
- the same number is subtracted from both sides of the inequality.
- both sides of the inequality are multiplied by a
*positive* number.
- both sides of the inequality are divided by a
*negative* number.

However, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol.

**Inequalities involving more than one operation can be solved by undoing the operations in reverse order in the same way you would solve an equation with more than one operation.**