[john.gersh]

They're the same in terms of opening the inspector, but its content is different. Say a shape is selected. Cmd-1 opens the inspector filled with the info for the current selection. Choosing Inspect Style in the shape tool pulldown also opens the inspector, but it then contains the info for the current shape tool instead (and deselects the current selection). Choosing Inspect Style for different tool may also open the inspector with a different panel chosen; e.g., if it was last on Fill and one inspects a line style, it opens in Stroke instead.