In this reaction, NaOMe (sodium methoxide) is used, which is a strong nucleophile and can promote elimination reactions. The reaction proceeds via an E2 mechanism, where the leaving group (Br\(^-\)) is eliminated in a concerted process along with a proton (H\(^+\)) from the adjacent carbon. Since the configuration at the 2 and 3 positions is (2R,3R), the elimination will follow anti-periplanar geometry to form the alkene. The major product will be the (E)-isomer, as it is the most stable configuration. Therefore, the correct answer is (B).