With /bin/bash, how would I detect if a user has a specific directory in their $PATH variable?
For example
if [ -p \"$HOME/bin\" ]; then
$PATH is a list of strings separated by : that describe a list of directories. A directory is a list of strings separated by /. Two different strings may point to the same directory (like $HOME and ~, or /usr/local/bin and /usr/local/bin/). So we must fix the rules of what we want to compare/check. I suggest to compare/check the whole strings, and not physical directories, but remove duplicate and trailing /.
First remove duplicate and trailing / from $PATH:
echo $PATH | tr -s / | sed 's/\/:/:/g;s/:/\n/g'
Now suppose $d contains the directory you want to check. Then pipe the previous command to check $d in $PATH.
echo $PATH | tr -s / | sed 's/\/:/:/g;s/:/\n/g' | grep -q "^$d$" || echo "missing $d"