Japan's response to gaining control over Manchuria in the early 1930s primarily involved establishing a puppet state known as Manchukuo. Japan sought to solidify its influence in the region and exploit Manchuria's vast resources. Therefore, the most accurate characterization of Japan's actions would be that it did not allow Manchuria to establish its own true government or independent trade policies. Instead, Japan heavily controlled the region, implementing policies that promoted Japanese interests.
To clarify the options you presented:
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It pushed American business interests out of Manchuria - This is somewhat accurate in that Japan's control over Manchuria often conflicted with American interests and investments, leading to tensions.
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It let Manchuria establish its own government and trade policies - This is not accurate, as Japan did not permit Manchuria to have true autonomy.
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It increased trade agreements with important US business leaders - While Japan may have sought to maintain international relations, its focus was primarily on consolidating control over Manchuria rather than enhancing cooperation with the U.S. at that time.
The actions of Japan in Manchuria were part of its broader imperial ambitions in East Asia and were met with international condemnation, particularly from the United States and other Western nations.