p:
q:I get first class
the contrapositive of . hence the answer is If I do not get a first class , then
p: x = 5 and y = - 2 , q : x – 2y = 9
The contrapositive of
Hence If x – 2y 9 , then x 5 or y - 2
p: the figure is a rhombus q: the diagonals are perpendicular
Contrapositive of
hence If the diagonals are not perpendicular, then the figure is not a rhombus
p | q | ||||
T | T | T | T | T | T |
T | F | T | T | T | T |
F | T | F | T | T | T |
F | F | T | F | T | T |
Hence they are equivalent
Since