Question 249730
Here's how it is done:


{{{-7x>(1/15)}}}


Divide by -7 on both sides.  Since we are dividing a negative number, the inequality symbol changes direction.


{{{x<(1/15)/(-7/1)}}}


Dividing two fractions is the same as multiplying one fraction by the reciprocal of the second one.  
The reciprocal of {{{-7/1}}} is {{{-1/7}}}.


{{{x<(1/15)(-1/7)}}}


{{{x<-1/(15*7)}}}


{{{x<-1/105}}}


Done!