Question 803937
{{{6<=abs(2x-4)}}}......simplify, divide all terms by {{{2}}}

{{{3<=abs(x-2)}}}=> {{{3<= x-2}}} and {{{3<=-(x-2)}}}

{{{3<= x-2}}} for {{{x<=5}}}

 and {{{3<=-(x-2)}}}=>{{{3<=-x+2}}}=> {{{x<=-3+2}}}=>{{{x<=-1}}}


{{{ graph( 600, 600, -10, 10, -10, 10, 3<=abs(x-2)) }}} 

solution set:

({{{-infinity}}},{{{-1}}}] U [{{{5}}},{{{infinity}}})

{{{drawing( 400, 400, -10, 10, -10, 10,locate( -9, 6, number_line( 350, -10, 10, -1,5 )))}}}

draw an arrow from {{{-1}}} to the left and from {{{5}}} to the right