"There" refers to a place. "Their" indicates possession. "They're" is a contraction for "they are." Ex.: There is a beautiful garden. Their house is nearby. They're going for a walk.


"Imply" means to suggest indirectly. "Infer" means to deduce or conclude from evidence. Ex.: Her silence seemed to imply disapproval. From her reaction, we can infer that she is unhappy.