serve notice
serve notice {v. phr.}
1. To notify one's employer in a formal or legal manner that one is quitting the former's employment.
She gave notice to her boss that she was quitting because of marriage.
2. To notify an employee or a tenant that one no longer needs their services or wishes to have them as tenants.
The new landlady gave notice to several families in our building because they were late in paying their rent.
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Source: A Dictionary of American Idioms