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Gary W House
Engineering is a far broader career field than mathematics (civil engineers, mechanical, electrical etc). I'd like to think that either will be a solid choice for the future, but I believe you will have significantly more opportunities in engineering.
BTW, back in my college days (30+ years ago), engineering graduates actually received a minor in math just completing the engineering requirements.
NOTE: the requirements for all engineer disciplimes are pretty much the same for the first couple years, but you will have to focus in some area/specialty by the third year.