I think the name of the above compound should be 3-Ethyl-2-methylcyclohex-1-ene. However, according to my book (Organic Chemistry Resonance DLPD, page #43, question #5), this organic compound is 6-Ethyl-1-methylcyclohex-1-ene.
A quick Google search shows relevant results for the later name but not for the former.
As far as I know as a high school student, substituents should be given the lowest number and double bonds should be given the number 1 whenever possible.
The name I thought of first satisfies these conditions better than the name the book gives as the answer.
What did I do wrong? Which rule did I not follow?