We need to solve the following equation:
[tex]|x+5|=0.01[/tex]There are two possibilities for the absolute operator, we have the possibility that the argument is positive or negative. Therefore:
[tex]\begin{gathered} x+5=0.01 \\ x=0.01-5=-4.99 \\ \end{gathered}[/tex][tex]\begin{gathered} -(x+5)=0.01 \\ -x-5=0.01 \\ -x=0.01+5 \\ -x=5.01 \\ x=-5.01 \end{gathered}[/tex]The solution is -4.99 and -5.01.
