SOLUTION: What rules of operations that apply when you are solving an equation does not apply when you are solving an inequality? What might be the implications of DQ2 when you consider

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Question 138355: What rules of operations that apply when you are solving an equation does not apply when you are solving an inequality?
What might be the implications of DQ2 when you consider the number line?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Equations and inequalities are solved in the same manner with one important exception. When you multiply (or divide, which is really the same thing) by a negative number when solving an inequality, you must reverse the sense of the inequality. "Greater than" becomes "Less than" and vice versa.

Here is a trivial example that illustrates why:

2%3C3 is clearly a true statement. But if you multiply both sides by -1, you get -2 on the left and -3 on the right. You must then reverse the inequality sign so that the statement will remain true: -2%3E-3

I have no idea what 'DQ2' means in this context, so I can't help you. Perhaps you could define the term as you are using it, or perhaps one of the other tutors can help.