After Insert,Update in one trigger

CREATE TRIGGER dbo.TableName_IUD
ON dbo.TableName
AFTER INSERT, UPDATE, DELETE
AS 
BEGIN
 SET NOCOUNT ON;

 DECLARE @action CHAR(8)  
 IF COLUMNS_UPDATED() <> 0 -- delete or update?
 BEGIN     
  IF EXISTS (SELECT * FROM deleted) -- updated cols + old rows means action=update       
    SET @action = 'UPDATE'     
  ELSE
    SET @action = 'INSERT' -- updated columns and nothing deleted 
                           --means action=insert
 END 
 ELSE -- delete     
 BEGIN
  SET @action = 'DELETE'
 END

END