Question 312654
Two solutions:
{{{x-1>=1}}} and {{{-(x-1)>=1}}}
Positive solution:
{{{x-1>=1}}}
{{{x>=2}}}
.
.
.
Negative solution:
{{{-(x-1)>=1}}}
{{{x-1<=-1}}}
{{{x<=0}}}
.
.
.
({{{-infinity}}},{{{0}}}]U[{{{2}}},{{{infinity}}})
.
.
.
Graphically, the solution is when the absolute value function (red line) is above or equal to the green line ({{{y=1}}})
{{{ graph( 300, 300, -2, 5, -5, 5, abs(x-1), 1) }}}