Question 117586
{{{1/3|2x-1|<1}}}…we will have {{{1/3(2x-1)<1}}}…and…{{{1/3(-(2x-1))<1}}}…


{{{1/3(2x-1)<1}}}… … multiply both sides by {{{3}}}

{{{3*(1/3)(2x-1)<1*3}}}

{{{2x-1<3}}}…

{{{2x<3+1}}}…
	
{{{2x< 4}}}……divide both sides by {{{2}}}

{{{x< 2}}}……….first solution



{{{1/3(-(2x-1))<1}}}

{{{1/3(-2x+1)<1}}}……… multiply both sides by {{{3}}}

{{{3*(1/3)(-2x+1)<1*3}}}

{{{-2x+1<3}}}

{{{-2x<3-1}}}

{{{-2x<2}}}………….. divide both sides by {{{-2}}}

{{{x>-1}}}…………..