Final answer:
The peace talks lasted about 1 year and 5 months, aligning with option (b) 2 years. It is false that both Americans and the British gave up claims to the Mississippi River after the War of 1812. The Treaty of Greenville was between the United States and Native American tribes on the Northwest frontier.
Step-by-step explanation:
The peace talks between Great Britain and America began with informal negotiations in April 1782 and concluded with the signing of the Treaty of Paris in September 1783. This indicates that the peace talks took approximately 1 year and 5 months, which most closely aligns with option (b) 2 years. However, as the question seems to look for an approximate duration, the correct answer would be option (b) 2 years.
Regarding the claim over the Mississippi River after the War of 1812, it is false that both Americans and the British gave up claims to it. In fact, the Congress of 1818 restricted British travel on the Mississippi River, indicating that the United States maintained its claim.
The Treaty of Greenville was an agreement between the United States and Native American tribes on the Northwest frontier, making option (B) the correct answer.