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Question

The area of the United States is about 6,000,000 square miles. The area of Hawaii is about 11,000 square miles. Use an indirect proof to show that at least one of the fifty states has an area greater than 120,000 square miles.

Solution

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Answered 1 year ago

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1 of 3Assume that each state has an area less than or equal to $120000$ square miles. Since the area of Hawaii is already given and said to have an area of $11000$ square miles, therefore, subtracting it from $6000000$ square miles which is the total area of United States results to $5989000$ square miles. This is now the total the area of the remaining $49$ states.

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