(a) (1) No person shall operate a motor vehicle, snowmobile or all-purpose vehicle upon any path set aside for the exclusive use of bicycles, when an appropriate sign giving notice of that use is posted on the path.
(2) Nothing in this section shall be construed to affect any rule of the Director of Natural Resources governing the operation of motor vehicles, snowmobiles, all-purpose vehicles and bicycles on lands under the Director’s jurisdiction.
(b) Except as otherwise provided in this division, whoever violates this section is guilty of a minor misdemeanor. If, within one year of the offense, the offender previously has been convicted of or pleaded guilty to one predicate motor vehicle or traffic offense, whoever violates this section is guilty of a misdemeanor of the fourth degree. If, within one year of the offense, the offender previously has been convicted of two or more predicate motor vehicle or traffic offenses, whoever violates this section is guilty of a misdemeanor of the third degree.
(R.C. § 4511.713(A), (B))