You need a lawyer, since it is a class b misdemeanor and carries a possible penalty of up to 6 months in county jail. Best scenario is supervision, worst for a first offense is a conviction, although no one can guarantee no jail time.
In Illinois, speeding 31-39 mph over the limit is now a Class B Misdemeanor, punishable by up to $1,500 in fines and 6 months in jail. If you plead guilty, the best result is Court Supervision. You should speak with an experienced attorney to discuss your options. Many attorneys, including our office, offer free consultations. More information on this specific offense is available at the links below.
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Since the ticket is now calssified as a misdemeanor offense, I recommend getting a lawyer who practices in the County courthouse where you got the ticket. Every courthouse and Judge deal with these types of offenses diffrently, Some are lenient, while others are very tough. Depending on your driving record you may be eligible for Court Supervision whichis the best case scenario.