Lesson: Basic Algebra - 09

Solving Inequalities with Negatives: The Big Exception

[Page 9 of 21]
There is one critical difference between solving an equation and solving an inequality:
When multiplying or dividing both sides of an inequality by a negative number, the inequality sign reverses.
Let’s see how this works:


  which is a true statement.


But what if we hadn’t flipped the signs? Try inserting a number less than –10 for x and see what happens. Doing so should demonstrate the importance of this rule.
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