anonymous
  • anonymous
Which statement is logically equivalent to the following conditional statement? If it is a rectangle, then it does not have three sides. Answers If it is not a rectangle, then it has three sides. If it has three sides, then it is not a rectangle. If it does not have three sides, then it is a rectangle. If it is not a rectangle, then it does not have three sides.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
contraP is equivalent
amistre64
  • amistre64
p -> q contraPs into -q -> -p
Directrix
  • Directrix
If it has three sides, then it is not a rectangle. -------------------------- A statement and its contrapostive are logically equivalent. To get the contrapositive of "If it is a rectangle, then it does not have three sides," form the implication "If it does NOT not have three sides, then it is NOT a rectangle. If it has three sides, then it is not a rectangle is the contrapositive. Note: The inverse and the converse are also logically equivalent to each other.

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amistre64
  • amistre64
hmm, ive never heard of the inverse = converse part before. not that its wrong, just haveint ever come across that statement before
amistre64
  • amistre64
p q q>p -p>-q 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 cool
Directrix
  • Directrix
The inverse is the contrapositive of the converse.
anonymous
  • anonymous
so whats the answer
amistre64
  • amistre64
p -> q contraPs into -q -> -p so define p and q, and negate them ... of course

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