I did this problem a little differently than my professor, so I need someone to check if it is valid. Let's start with 1-methyl-1-cyclohexanol. If I react this with HBr, I should get 1-bromo-1-methylcyclohexane. And if I then react this with EtO-/EtOH, I should get 1-methyl-1-cyclohexene, right? My professor wrote a reaction with sulfuric acid to give a carbocation that reacted with water to give the same product.