Are the lines grouped (will show the message "Group of x objects..." in the status bar when selected) or just segments of the same path (will show the message "Path (x nodes)..." in the status bar)?

If the former, ungroup with ^g (ctrl+g) and if the latter, ^K (shift+ctr+k). If you do break apart the segments, they will all get broken apart, so paths with holes in the (like a doughnut) will need the hole recombined.

-Rob A>