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 < 20
Now divide both sides by 2 : 5 < 10
If 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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