The correct answer is option 4: persuasion and propaganda.

Option 1, revolution, typically refers to a violent overthrow of a government and is not a method associated with democratic socialism.

Option 2, a general strike, refers to a widespread work stoppage aimed at making political demands or addressing grievances. While strikes can be a tactic used by socialists, it is not exclusively associated with democratic socialism.

Option 3, sabotage, involves deliberately damaging or disrupting production or infrastructure. This is not a method typically associated with democratic socialism, as it conflicts with the principles of democratic decision-making and peaceful means of achieving change.

In contrast, option 4, persuasion and propaganda, refers to the use of reasoned arguments, education, and communication to influence public opinion and promote socialist policies. This method aligns with the principles of democratic socialism, which emphasize democratic participation and peaceful reforms.