George Jacob Gershwin ( ; September 26, 1898 July 11, 1937) was an American composer and pianist. Gershwin's compositions spanned both popular and classical genres, and his most popular melodies are widely known. Among his best-known works are the orchestral compositions "Rhapsody in Blue" (1924) and "An American in Paris" (1928) as well as the opera "Porgy and Bess" (1935).

Can we draw the following conclusion?
George Jacob Gershwin composed music in the 1940s.
No