zackmoore2001 zackmoore2001
  • 07-06-2017
  • Mathematics
contestada

If p → q is true, then ~ q → ~ p is __________ false.

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JoshEast
JoshEast JoshEast
  • 08-06-2017
If  p → q is true, then ~ q → ~ p is  NOT  false (thus true)

In essence, 
 p → q is a conditional statement whose contrapositive is, ~ q → ~ p.  As you can see in the tables I attached, as long as the conditional statement is true then its contrapositive is also true which implies that a conditional statement and its contrapositive are what is known as Logical Equivalents.
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