Originally Posted by

**Stylis10** I have been reading on how to write the negation of quantifiers for a couple hours but am still confused as to how to give the answer:

Give the Negation of the following:

1. $\displaystyle \forall z \in \mathbb{C}, \exists w \in \mathbb{C} : w^2 = z$

2. $\displaystyle \forall x \in \mathbb{R}, (x<-2 \rightarrow x^2 >4)$

My Answer's (If correct)

1. $\displaystyle \exists z \in \mathbb{C}, \forall w \in \mathbb{C} : \neg (w^2 = z)$

2. $\displaystyle \exists x \in \mathbb{R}, \neg (x<-2 \rightarrow x^2 >4)$