Hi,
Paths are by default open… but you cannot see it when the object is filled. If you remove the Fill, you]l se its open. To remove the fill press the “Fill” tab and uncheck the fill checkbox.
To cut path points:
1. Press on the object to display the Actions menu and select “Edit paths”.
2. Click on the points you want to cut (Hold shift down to select several points). The selected points will be green.
3. Press Ctrl+x to cut (Or select “Cut selected points” in the Edit menu). You can also use the rubber tool to remove points.