Question 347194
{{{abs(2x-1) <=3}}}
{{{2x-1<=3}}} and {{{-(2x-1)<=3}}}
{{{2x<=4}}} and {{{2x-1>=-3}}}
{{{x<=2}}} and {{{2x>=-2}}}
{{{x<=2}}} and {{{x>=-1}}}
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{{{highlight(-1<=x<=2)}}}

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Graphical verification
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{{{drawing(300,300,-5,5,-5,5,blue(line(-1,10,-1,-10)),blue(line(2,10,2,-10)),grid(1),graph(300,300,-5,5,-5,5,abs(2x-1),3))}}}