Is conflict justified when you can't compromise?

NO

Explanation:

Not to be mean. (I like uppercase letters)  

No, it is not.

Explanation:

Compromise does not always resolve problems that contain underlying conflict. This is because compromise is a "settled" resolution to a problem and not typically the optimal solution sought by either party.

necessary and proper clause. the congress shall have power to all laws which shall be necessary and proper for carrying into execution the foregoing powers, and all other powers vested by this constitution in the government of the united states, or in any department or officer thereof.

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