Question 5732
the easiest way to handle any kind of fraction problems is to clear the denominator by multiplying the entire equation.
{{{7/5*(10z-1)<(2/3)*(6z+5)}}}
first clear the parentheses:
{{{70z/5-7/5<12z/3+10/3}}}
then multiply through by 15:
{{{210z-21<60z+50}}}
subtract 60z from both sides:
{{{150z-21<50}}}
add 21 to both sides:
{{{150z<71}}}
divide both sides by 150:
{{{z<71/150}}}
(-infinity,71/50)