How do you solve #\frac { 5} { 6} n - \frac { 1} { 5} < - \frac { 8} { 15}#?

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Answer 1 · 2016-12-02T07:23:06

#n<-2/5#

#color(blue)(5/6 n-1/5<-8/15#

This is an inequality. To solve this we need to isolate #n# by balancing both sides

#rarr5/6 n-1/5<-8/15#

Add #1/5# both sides

#rarr5/6 n-1/5+color(red)(1/5)<-8/15+color(red)(1/5)#

#rarr5/6 n<-8/15+3/15#

#rarr5/6 n<-1/3#

Divide both sides by #5/6#

#rarr5/6 n-:5/6<-1/3-:5/6#

#rarrn<-1/3*6/5#

#rarrn<-6/15#

#rArrn<-2/5=-0.4#

Hope this helps!!! :)