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sveta [45]
3 years ago
15

Prove that if xy > 0, then either x > 0 and y > 0 or x < 0 and y < 0

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

The rule of product states that:

  • (+) \cdot (+) = (+)
  • (+) \cdot (-) = (-)
  • (-) \cdot (+) = (-)
  • (-) \cdot (-) = (+)

So, a product is positive if and only if both factors have the same sign, and is negative if only if the factors have opposite sign.

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