What does it mean if my monocytes are low and neutrophils are high?

Relative v.absolute?: The percentages can be misleading. One must really look at the absolute amounts of both. Depending on the circumstances, a true absolute neutrophilia may be caused by a list of conditions too long to list here. In most cases, the low monocyte count is due to the relative expansion of neutrophils (infections, smoking, trauma, autoimmune conditions, even some cancers). Your md should be able to help.