Consider the following statement:

$\text{Not everyone is good at sports.}$

For the following questions,
Let $X = \lbrace people\rbrace$
$P(x)$ be the predicate $x\text{ is good at sports.}$

Write the statement as a universal statement
A. $\forall x\in X, \sim P(x)$
B. $\sim \exists x\in X : \sim P(x)$
C. $\forall x\in X, \sim P(x)$
D. $\sim (\forall x\in X, P(x))$

Write the statement as an existential statement
A. $\exists x\in X : \sim P(x)$
B. $\exists x\in X : P(x)$
C. $\sim\exists x\in X : P(x)$
D. $\sim (\exists x\in X : P(x))$

Write the existential statement in English
A. There does not exist someone who is not good at sports
B. There exists someone who is good at sports
C. There exists someone who is not good at sports
D. There does not exist someone who is good at sports