Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 57: 115

The two solutions are $x=4.01$ and $x=3.99$

$|x-4|=0.01$ By the definition of absolute value, solving this equation is equivalent to solving two separate equations, which are $x-4=0.01$ and $x-4=-0.01$ Solve both equations for $x$: $x-4=0.01$ $x=4+0.01$ $x=4.01$ $x-4=-0.01$ $x=4-0.01$ $x=3.99$ The two solutions are $x=4.01$ and $x=3.99$