Mathematics (Logical Connectives, Converse)
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Mathematics (Logical Connectives, Converse)

[From: ] [author: ] [Date: 12-01-10] [Hit: ]
Regardless of how complicated statements P and Q are, the converse of if P then Q is if Q then P.In this situation,Lord bless you today!......
Statement: If x > 0 and x^2 < 0, then x <= -1.

I was told that the converse is the following:

If x <= -1, then x > 0 or x^2 < 0.

Assuming this is true, why does the "and" in the original statement change to an "or" in the converse.

10 points for the best explanation.

Thanks.

Z

-
The "and" should remain "and", rather than changing to "or". What you were told is incorrect.
Regardless of how complicated statements P and Q are, the converse of "if P then Q" is "if Q then P". In this situation, P = "x > 0 and x^2 < 0"; Q = "x <= -1".

Lord bless you today!
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keywords: Converse,Logical,Mathematics,Connectives,Mathematics (Logical Connectives, Converse)
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