One important difference is that if you multiply or divide both sides by a negative number, you need to invert the inequality sign. Example:
-2x > 5
Dividing both sides by (-2):
x < -2.5
Note that the greater-than sign changed to a less-than sign, because of the multiplication by a negative number.
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Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
When solving an equation, you are looking for a specific answer or answers. However, when solving inequalities, you are only looking for what an answer could be (for example, your answer could be less than 5 or greater than 32).
Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").
It is called solving by elimination.
Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.