Question 316816
Not sure if the last term is like this,
{{{(2z)/3 - (3z)/4 + (4z)/5 - (5z-6) <7}}}
or like this,
{{{(2z)/3 - (3z)/4 + (4z)/5 - 5z-6 <7}}}
I'll work it the second way, you can change it if its different. 
Multiply by 60 to get rid of fractions,
{{{(2z)/3 - (3z)/4 + (4z)/5 - 5z-6 <7}}}
{{{40z-45z+48z-250z-300<420}}}
{{{-207z-300<420}}}
{{{-207z<720}}}
{{{-23z<80}}}
{{{highlight(z>-80/23)}}}