This note describes a first selection of νµ charged-current inclusive events in the MicroBooNE detector. MicroBooNE is a 170 ton liquid-argon time projection chamber, located at surface level in the Booster Neutrino Beam at Fermilab. The detector is therefore continuously exposed to cosmic rays, which outnumber the observed neutrino interactions by almost three orders of magnitude. Hence, the selection of neutrino interactions within the cosmic background is the first step towards any neutrino physics analysis in MicroBooNE. This note describes two approaches, which successfully select νµ charged-current events in a fully automated way. It also outlines further necessary steps to improve the detector understanding and reconstruction, increase the selection efficiency and address systematic uncertainties, before the first neutrino-argon cross sections can be derived.