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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