Question 600320
{{{3+abs(8j-5)>=6 }}} Start with the given inequality.



{{{abs(8j-5)>=6-3 }}} Subtract 3 from both sides.



{{{abs(8j-5)>=3 }}} Combine like terms.



{{{8j-5>=3 }}}  or {{{8j-5 <= -3}}} Break up the absolute value into two inequalities.



{{{8j>=3+5 }}}  or {{{8j <= -3+5}}} Add 5 to both sides (for each case)



{{{8j>=8 }}}  or {{{8j <= 2}}} Add



{{{j>=8/8 }}}  or {{{j <= 2/8}}} Divide both sides by 8



{{{j>=1 }}}  or {{{j <= 1/4}}} Reduce



So the solutions are {{{j>=1 }}}  or {{{j <= 1/4}}}