For the time interval $1< \lvert t+1 \rvert \leq 3 $ I am trying to solve for t to get my range to plot a function.
I know $\lvert t+1 \rvert \leq 3 \iff -3\leq t+1 \leq 3 \iff -4 \leq t \leq 2$
And then $ \lvert t+1 \rvert > 1 $ becomes $t+1 >1 $ or $t+1 <-1$. Hence $t>0$ or $t<-2$.
Then things seem to contradict and i can't figure out my time range. What am I doing wrong?