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Lynfam0us
Lynfam0us Lynfam0us
  • 22-09-2015
  • Mathematics
Answered

True or false? If you took a true "if-then" statement and reversed the clauses, the new statement would also be true

Verified Answer :

AL2006
AL2006 AL2006
  • 22-09-2015


That's false.

Here's a counter-example:

If an animal is a dog, then it has four legs.  This is true.
but
If an animal has four legs, then it is a dog.  This is not necessarily true.


Another one:

If a shape is a square, then it has four sides.  Always true.
but
If a shape has four sides, then it is a square.  Usually not true.


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