Question

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.

Answer 1

contraP is equivalent

Answer 2

p -> q contraPs into -q -> -p

Answer 3

If it has three sides, then it is not a rectangle.
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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.

Answer 4

hmm, ive never heard of the inverse = converse part before. not that its wrong, just haveint ever come across that statement before

Answer 5

p q q>p -p>-q
1 1 1 1
1 0 1 1
0 1 0 0
0 0 1 1

cool

Answer 6

The inverse is the contrapositive of the converse.

Answer 7

so whats the answer

Answer 8

p -> q contraPs into -q -> -p

so define p and q, and negate them ... of course