Helga M. answered • 10/01/12

Lots of Experienc: 20 years College Teaching, 35 years Tutoring

The short answer is that you solve it the same way as you would equations with one major exception: whenever you multiply or divide both sides with a negative number, you switch the inequality signs direction.

4v+8>6v+10

let's say you decide to collect the v terms on the left and the numbers on the right. Then subtracting 6v from both sides and subtracting 8 from both sides gives you

-2v > 2

This should be familiar. But now you need to divide by -2 to solve for v. Since this is a negative number you switch the freater than to a less than sign and get

v < -1

Had you decided insteal to collect v's on the right and numbers on the left, you would have subtracted 4v and 10 from both sides to get

-2 > 2v

Division by a positive number doesn't require the switch, so you wind up with the same result

-1 > v