sac8513 wrote:
After going through the inequalities section of my
MGMAT book i noticed an inconsistency...with division, does the sign < or > flip only when you are dividing by a negative number or does it flip whenever you divide.
Two places in the book say it gets flipped only when dividing by a negative and the other says whenever there is division
(I know with multiplication, the sign gets flipped only when multiplying by a negative)
Thanks for the help!
It only changes when you multiply or divide by a negative number.
Consider the following example :
10 < 20Now divide both sides by 2 :
5 < 10If we were to switch the inequality then it would read as :
5 > 10 which doesn't make sense right?
However, if we were to divide by -2 then we would have to change the inequality sign :
-5 > -10 This is again obvious since if we don't change the sign, then it would read :
-5 < -10 which again does not make sense.
Thus change inequality sign only why multiplying or dividing by a negative number.
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