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The contra-positive of the statement, "I...

The contra-positive of the statement, "If x is a prime number and x divides ab then x divides a or x divides b", can be symbolically represented using logical connec- tives, on appropriately defined statements p, q, r, s, as

A

`(~r vee ~s) to (~p wedge ~q)`

B

`(r wedge s) to (~p wedge ~q)`

C

`(~r wedge ~s) to (~p vee ~q)`

D

`(r vee s) to (~p vee ~q)`

Text Solution

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The correct Answer is:
C
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