Question 73747
{{{abs(c-4)>1}}}Since the absolute value of a positive and a negative number is that same number but always positive, you can write an absolute value expression like {{{abs(x)=a}}} as this {{{x=a}}} and {{{x=-a}}} So this problem can be written as
{{{-1>c-4>1}}}Now we can solve for c
{{{-1+4>c>1+4}}}
{{{3>c>5}}}
Which finally looks like
{{{c<3_and_c>5}}}
{{{graph( 300, 200, -1, 10, -10, 10, abs(x-4),1) }}}
For the graph you would shade above y=1 and below {{{y=abs(x-4)}}} (we let c=x). So shade in between the green and the red lines; however, don't shade in the middle triangle, since the {{{abs(x-4)}}} is not greater than 1 in this region.