1. ## Negations Project

What are the negations of the following statements?

There does not exist 0 such that for all x, x+0=x

The newspaper article was neither accurate nor entertaining.

Thanks for all the help!

2. The first statement, in symbols is
$\not\exists 0 \forall x$ $x+0=x$
Which is equivalent to
$\forall y \forall x$ $x+y \neq x$
Which we negate as,
$\exists 0 \forall x,$ $x+0=x$.

For the second example, english is very misleading. An equivalent statement is,
the newspaper article was not accurate and not entertaining.

So, the negation (by Demoivre's Law), is:
the newspaper article was either accurate or entertaining.