remove rows when selected

import pandas as pd

# make some data and create dataframe
data1 = [['Alex',10],['Bob',12],['Clarke',13],
         ['Alex',80],['Bob',73],['Clarke',45],
         ['Alex',45],['Bob',43],['Clarke',98]]
df1 = pd.DataFrame(data1,columns=['Name','Age'])

# select rows
df2 = df1.loc[df1['Name'] == 'Alex']

# TO-DO - how to remove the selected rows in df2 from df1

# intended result
result_data = [['Bob',12],['Clarke',13],
         ['Bob',73],['Clarke',45],
         ['Bob',43],['Clarke',98]]
result_df = pd.DataFrame(result_data,columns=['Name','Age'])