Question

Rewrite the expressions without using absolute value notation
|x+1| +4 |x+3| given that -(5/2) 13 years ago

Answer 1

\[\frac{-5}{2}<x<\frac{-3}{2}\]
\[\frac{-5}{2}+1<x+1<\frac{-3}{2}+1\]
\[\frac{-3}{2}<x+1<\frac{-1}{2}\]
x+1 is <0 in the interval
therefore
|x+1|=-(x+1)
x+3 is >0 in the interval
|x+3|=x+3