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What is the Difference between solving equations and inequalities?

Answer:
In solving inequalities, you use many of the same steps as in equations. However, a few additional considerations apply. For example, care must be take when multiplying or dividing the inequality - if you multiply with a negative number, the direction of the inequality is reversed.

Example: 

-x < -2x + 15
-3x < 15
x > -5
Note that the "less than" was replaced with a "greater than" in the last step!

When multiplying or dividing by a variable (or by a variable expression), you may have to separately consider both cases: that the variable is positive, and that it is negative.

First answer by Hilmarz. Last edit by Hilmarz. Contributor trust: 806 [recommend contributor recommended]. Question popularity: 2 [recommend question].

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