Question

Solve: | m + 8| = 16



{-24, 8}

{8, 16}

{-24}

Answer 1

Absolute value function is defined as
|x| = x for x>=0
-x for x<0
here we have
\[|m+8|=16\]
so \[ \pm(m+8)=16\]
or
\[m+8=\pm 16\]
\[ m+8=16\ or \ m+8=-16\]
we get
\[m=8\ or\ m=-24\]
so m= {-24, 8}