In the given situation, Adam’s claim is not valid. The apartment complex is not violating his constitutional rights as constitutional protections do not extend to privately-owned apartment complexes.
The Federal Fair Housing Acts (42 U.S. Code § § 3601–3619) forbid discrimination on the basis of race or color, faith, ethnic origin, sex, familial situation (having children and pregnancy), mental and physical disability.
Most of the states in the US don’t have any legal provisions, which protect people from discrimination on the basis of their marital status. So, in current situation, the landlord may legally ask questions about his relationship and may refuse to rent him the apartment.
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