Inference rhymes with:
conference, conference, deference, difference, indifference, preference, reference, beligerence, belligerence, conference, deference, deliverance, difference, endurance, exuberance, furtherance, ignorance, indifference, intolerance, irreverence, preference, protuberance, reference, reverence, self-deliverance, severance, temperance, tolerance, utterance
Inference sounds like:
impairing, imprimis, inferences, inferring, informing, informix, informs, infringe, infringes, invariance, inverness