True, plenty of private schools, but it depends on your definition of monopoly. Microsoft had competition but that didn't stop the lawsuits from the Feds.

Government education may not be a monopoly in appearance but in many cases it sure does behave as one. Look up the examples of local government education bureaucracies doing much to attempt to eliminate those private schools as competition.

Washingto D.C. is an excellent example of this.

In many areas I would define government education as a monopoly simply because they do everything they can to prevent you from not entering your child into their system. And they use government force to do so.