Writing Formal Negations To Universal Conditional Statements
ANSWERS
students
x | x
's GPA is better than 3.5
~
(
x
studies a lot.)
There are some students whose GPA's are better than 3.5 and they don't study a lot.
polygons
p
|
p
has 3 sides
~(
p
is a triangle)
There exists a polygon such that the polygon has 3 sides and it is not a triangle.
numbers
n
|
n
is real
~
(
n
2
is positive.)
There are some numbers
n
such that
n
is real and
n
2
is not positive.
girls
g
|
g
dates that guy and ~(
g
is crazy)
There are some girls who date that guy and who are not crazy.