SOLUTION: Why does the inequality sign change when both sides are multiplied or divided by a negative number?

Algebra.Com
Question 431528: Why does the inequality sign change when both sides are multiplied or divided by a negative number?
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Suppose , and . From we obtain . We can subtract from both sides to get --> --> . Finally, we can scale both sides by the same positive number to get .
RELATED QUESTIONS

Why does the inequality sign change when both sides are multiplied or divided by a... (answered by stanbon)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by richwmiller,Alan3354)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by solver91311)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by richard1234)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by mangopeeler07)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by kitkat2009)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by rapaljer)
why does the inequality sign change when both sides are multiplied or divided by a... (answered by solver91311,Edwin McCravy)
Why does the inequality sign change when both sides are multiplied or divided by a... (answered by solver91311)