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Given the information in the question, there is no need for any inequality. the flat surface can be described as an equality.

Outer diameter = one and a half inches => outer radius = 0.75 inches.

Inner diameter = three fourths inches => inner radius = 0.375 inches.

Area = pi*(0.752 - 0.3752) square inches.

So one possible set of inequalities is 0 < area < 1,000,000,000 sq inches!

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