1
general::
Phrase(s): within bounds
Go to within limits.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Reasonable and allowable, up to a certain point, as in It's all right to play your stereo, but please keep the volume within bounds. Like its antonym, OUT OF BOUNDS, this term originally referred to the boundaries of a playing area or field.
American Heritage Idioms