All renters have a RIGHT to a livable premisis. This right generall includes...
*keeping basic structural elements of the building, including floors, stairs, walls and roofs, safe and intact.
*maintaining all common areas, such as hallways and stairways, in a safe and clean condition (obviously wirtten to include aparment buildings)
*keeping electrical, plumbing, sanitary, heating, ventilating and air conditioning systems and elevators operating safely
*supplying cold and hot water and heat in reasonable amounts at reasonable times
*providing trash recepticals and arranging for their removal (apartments)
*exterminating infestations of rodents and other vermin
Texas Property Code states... § 92.052. LANDLORD'S DUTY TO REPAIR OR REMEDY. (a) A
landlord shall make a diligent effort to repair or remedy a
condition if:
(1) the tenant specifies the condition in a notice to
the person to whom or to the place where rent is normally paid;
(2) the tenant is not delinquent in the payment of rent
at the time notice is given; and
(3) the condition materially affects the physical
health or safety of an ordinary tenant.
(b) Unless the condition was caused by normal wear and tear,
the landlord does not have a duty during the lease term or a renewal
or extension to repair or remedy a condition caused by:
(1) the tenant;
(2) a lawful occupant in the tenant's dwelling;
(3) a member of the tenant's family; or
(4) a guest or invitee of the tenant.
(c) This subchapter does not require the landlord:
(1) to furnish utilities from a utility company if as a
practical matter the utility lines of the company are not
reasonably available; or
(2) to furnish security guards.
(d) The tenant's notice under Subsection (a) must be in
writing only if the tenant's lease is in writing and requires
written notice.
And... if you follow all the steps outlined in TX PROP CODE 92.056 then you can have the ac fixed yourself and deduct from your rent, or you can terminate your lease early with no ill effects on you. Here is the code... http://law.onecle.com/texas/property/92.056.00.html
You need to call the City you live in and ask for their housing department. They will probably transfer you around a bit... but you will get there. They will tell you what the code is for the city. That will override the state mandates... to a point. But if there is no city code, the state code applies. Also, if you can get no help from the city, contact the Texas Commission of Human Rights at ###-###-####.
I hope this helps and you get this remedied VERY SOON!
Let me know if I can help you in any way.