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If a,b,c, and d as positive in tegers sc...

If a,b,c, and d as positive in tegers sch that `a/b ` is greater than `(c )/(d)` then

A

`a/d = c/b`

B

`d 7 bc`

C

`ad lt bc`

D

`ad = bc`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem where \( \frac{a}{b} > \frac{c}{d} \) with \( a, b, c, d \) as positive integers, we can manipulate the inequality to find a relationship between the integers. ### Step-by-Step Solution: 1. **Start with the given inequality**: \[ \frac{a}{b} > \frac{c}{d} \] 2. **Cross-multiply to eliminate the fractions**: Since \( b \) and \( d \) are positive integers, we can safely cross-multiply without changing the direction of the inequality: \[ a \cdot d > b \cdot c \] 3. **Rearranging the inequality**: We can rewrite the inequality as: \[ ad > bc \] 4. **Conclusion**: The conclusion we can draw from this inequality is that if \( \frac{a}{b} > \frac{c}{d} \), then it must be true that \( ad > bc \).
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