Meaning of “argue” - Learner’s Dictionary

argue

verb uk us /ˈɑːɡjuː/ (present participle arguing, past tense and past participle argued)
DISAGREE [ I ]

B1 to speak angrily to someone, telling them that you disagree with them:

My parents are always arguing about money.
Kids, will you stop arguing with each other?
GIVE REASONS [ I, T ]

B2 to give reasons to support or oppose an idea, action, etc:

[ + that ] He argued that cuts in military spending were necessary.
She argued for/against tax cuts.

(Definition of “argue” from the Cambridge Learner’s Dictionary © Cambridge University Press)