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## Homework Statement

Prove

If ## 0 \leq a < b ## and ## 0 \leq c < d ## then ## ac < bd ##

## The Attempt at a Solution

not sure how to even start on this,

was thinking if a = 0 or c = 0, then ac = 0, but bd > 0 (which is given) so bd > ac

however this seems like I'm cheating because they give you bd > ac, so I don't think it's valid