I am a single female who is relocating to SLC. I'd like to live in the city, but don't necessarily need to live in The Avenues or Sugarhouse (my budget couldn't afford it anyway

).
Can someone tell me whether the neighborhoods around Liberty Park (zip codes 84102, 105, 111) are safe enough for a single woman? I've lived in several metropolitan cities, and compared to those, most areas of SLC seemed pretty safe [looking].
While I'd love to be within bike-riding distance of The U, I would consider areas further South (between Sugarhouse and Midvale).
Thanks in advance for any suggestions/experiences.