Let the number be x
Then the absolute value of the number from -2 should be 4
[tex] |x--2|=4[/tex]
[tex] |x+2|=4[/tex]
So either
[tex] (x+2)=4[/tex]
[tex] x=4-2=2[/tex]
Or
[tex] -(x+2)=4[/tex]
[tex] x+2=-4[/tex]
[tex] x=-4-2[/tex]
[tex] x=-6[/tex]
[tex] <B>The numbers are 2 and -6</B> [/tex[
They are four units away from -2 on the number line
