To transform 1-bromo-2-methylcyclohexane into 1-methylcyclohexene via an E2 elimination reaction, you will need a strong, non-bulky base to facilitate the elimination of the bromine atom and the formation of the double bond. The necessary conditions and reagents for this transformation are as follows:1. Reagent: A strong, non-bulky base, such as potassium tert-butoxide t-BuOK or sodium ethoxide NaOEt . These bases will favor the E2 elimination reaction over other possible side reactions.2. Solvent: A polar aprotic solvent, such as dimethyl sulfoxide DMSO or tetrahydrofuran THF , is suitable for this reaction. These solvents can dissolve both the starting material and the base, and they do not interfere with the reaction.3. Temperature: The reaction should be carried out at a moderately elevated temperature, such as 50-80C, to promote the E2 elimination reaction and ensure a good yield of the desired product.4. Reaction time: The reaction should be allowed to proceed for a sufficient amount of time, typically a few hours, to ensure complete conversion of the starting material to the desired product.The overall reaction can be summarized as follows:1-bromo-2-methylcyclohexane + strong base e.g., t-BuOK or NaOEt 1-methylcyclohexene + bromide ion e.g., KBr or NaBr Under these conditions, the strong base will deprotonate the -hydrogen the hydrogen atom on the carbon adjacent to the bromine-bearing carbon in an anti-periplanar fashion, leading to the formation of a double bond between the - and -carbons and the elimination of the bromine atom. This results in the formation of 1-methylcyclohexene as the major product.