If a, B, C and D are all real numbers, we try to list a set of values that make inequality a / b > C / d > 0 and ad > BC hold

If a / b > C / d > 0
Then each term is multiplied by BD
ad bc 0
If BD is positive, then ad > BC
So if we take any two positive numbers, such as B = 2, d = 4, we can satisfy ad > BC
Because a / b > C / d > 0
So a C must be positive. Suppose a is 3 and C is 1
The above conditions can be met

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