Question 139742
{{{(1/4)(5x - 1/2) - 1/3 < 2/3}}}


Add {{{1/3}}} to both sides, then multiply both sides by 4



{{{5x-1/2<4}}}


Add {{{1/2}}} to both sides


{{{5x<9/2}}}


Multiply both sides by {{{1/5}}}.  Since you are multiplying by a positive, do not change the sense of the inequality.


{{{x<9/10}}}


The solution set is the set of all real numbers x such that {{{x<9/10}}}, or in set-builder:  {x|x E R, {{{x<9/10}}}}