in the above example cant we write the negation of q statement as
∼ q : “Not every leaf in this plant is green in colour”.
Consider the statement:
q: Every leaf in this plant is green in colour.
We need to find the negation of this statement.
The denial of a statment p is called its negation and is written as and read as 'not p'.
Negation of any statement p is formed by writing "It is not the case that..." or "It is false that...." before p or, if possible by inserting in p the word "not".
Let us consider the statement:
p: All intergers are rational numbers.
The negation of this statement is:
: It is not the case that all integers are rational numbers.
or
: It is false that all integers are rational numbers.
or
: At least one integer is not a rational numbers.
You have written the negation of the given statement as
: Not every leaf in this plant is green in colour.
This is incorrect.
We can read the negation of a statement as not q, and the negation of the given statement should be
: It is false that every leaf in this plant is green in colour.