SOLUTION: The original question was: "Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Answer: "Th

Algebra ->  Inequalities -> SOLUTION: The original question was: "Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Answer: "Th      Log On


   

Question 149730: The original question was:
"Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations?
Answer: "This does not happen with equations because if you flip the equals sign, its still an equals sign"
NEW QUESTION: This statement is true. However, let's build on it a little more. Why is this statement true?
Answer by kmcruz09(38) About Me  (Show Source):
You can put this solution on YOUR website!
Okay. Let a%3Eb
If we multiply -1 on both sides -a%3C-b
If we use the Addition Property of equality.
a-%28a%2Bb%29%3Eb-%28a%2Bb%29
a-a-b%3Eb-a-b
-b%3E-a
Which is equal to -a%3C-b