in the above example cant we write the negation of q statement as

∼ q : “Not every leaf in this plant is green in colour”.

Question

in the above example cant we write the negation of q statement
as
 âˆ¼
q : â€œNot
every leaf in this plant is green in colourâ€

Vimala · Accepted Answer

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 $\sim p$ 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:

$\sim p$ : It is not the case that all integers are rational numbers.

or

$\sim p$ : It is false that all integers are rational numbers.

or

$\sim p$ : At least one integer is not a rational numbers.

You have written the negation of the given statement as

$\sim q$ : 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

$\sim q$ : It is false that every leaf in this plant is green in colour.

in the above example cant we write the negation of q statement as ∼ q : “Not every leaf in this plant is green in colour”.

in the above example cant we write the negation of q statement as

∼ q : “Not every leaf in this plant is green in colour”.