send packing vs give the sack

send packing and give the sack both are verbs.

Word	Noun	Adjective	Verb	Adverb
send packing	No	No	Yes	No
give the sack	No	No	Yes	No

As verbs, give the sack is a hypernym of send packing; that is, give the sack is a word with a broader meaning than send packing:

send packing: stop associating with
give the sack: terminate the employment of; discharge from an office or position

Other hypernyms of send packing include can, dismiss, displace, fire, force out, give notice, give the axe, sack, send away, terminate.

send packing (verb)	give the sack (verb)
stop associating with	terminate the employment of; discharge from an office or position