Question

Statements :

For the statement #1, "e x is rational for some nonzero integer x.", write the negation of this statement.

Answer 1

"
`e^x` is irrational for every nonzero integer x"

Explanation:

The original statement is

"
`e^x` is rational for some nonzero integer x."

The negation is technically:

"It is NOT true that
`e^x` is rational for some nonzero integer x."

So it's expressing that it's false that
`e^x` can be rational for some nonzero integer x.

This just means that
`e^x` is always irrational when x is a nonzero integer.

Which can be worded as

"
`e^x` is irrational for every nonzero integer x"