Question 283987
{{{(-4/3z)-6<-8z+3}}} i treat these inequalities as equations but keep in mind of the simple division or multiplication of a negative number will change the direction of the inequality sign.
{{{(-4/3)z-6<-8z+3}}} add 8z
{{{(-4/3)z+8z-6<+3}}}add 6
{{{(-4/3)z+(24/3)z<9}}}find common denominator and add
{{{(20/3)z<9}}}multiply both sides by 3
{{{20z<27}}}divide by 20
{{{z=27/20}}}