Question 671580
{{{abs(x-1)<4}}}

means {{{x-1<4}}} and {{{-(x-1)<4}}}

solutions:

if {{{x-1<4}}},  then {{{x<5}}}

if {{{-(x-1)<4}}},  then {{{-x+1<4}}}...{{{-x<3}}}....{{{x>-3}}}

so, {{{-3<x<5}}}


{{{ graph( 600, 600, -10,10, -10, 10, abs(x-1)-4) }}}

so, possible integer solutions are {{{x=-2}}},  {{{x=-1}}}, {{{x=0}}}, {{{x=1}}}, {{{x=2}}},  {{{x=3}}} and  {{{x=4}}}