SOLUTION: At what point or why do we change the original inequality symble from < to > and vise versa
eg
(1) -2x < -8
-2x/2 > -8/-2
x > 4
(2) 3x/3 < 17/3
x < 17/3
Algebra ->
Inequalities
-> SOLUTION: At what point or why do we change the original inequality symble from < to > and vise versa
eg
(1) -2x < -8
-2x/2 > -8/-2
x > 4
(2) 3x/3 < 17/3
x < 17/3
Log On
Question 8196: At what point or why do we change the original inequality symble from < to > and vise versa
eg
(1) -2x < -8
-2x/2 > -8/-2
x > 4
(2) 3x/3 < 17/3
x < 17/3
Why did < change to > in eg (1) and not in eg (2) Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! The rule is: "Whenever you multiply or divide by a negative quantity, you must reverse the order of the inequality"
In (1), you divided by -2 so you had to reverse the order of the inequality.
In (2) you didn't, so you didn't have to reverse to order.