We can actually infer that Emilia's lines in Act 3 Scene 1 suggests that she is in a good relationship with Lago (her husband), Cassio, Othello and Desdemona.
An inference is actually known to be a conclusion that is reached after further observation and analysis has been carried out.
Thus, we can actually see here that Emilia was in good relationship with the Lago, Cassio, Othello and Desdemona.
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