**Question:**

Create negative statements of the following clauses and consider their D, S a) A: & quot; The square of all real numbers is a non-negative number & quot; b) B: & quot; $ \exists x \in R, x ^ {2} + 1 = 0 & quot; $ c) C: & quot; $ \forall k \in Z, k (k + 1) (k + 2) \vdots 3 $ & quot;

**Answer**

a) $ \overline {A}: $ “The square of all real numbers is a negative number”. $ \overline {A} $ is the correct clause

b) $ \overline {B}: $ “$ \forall x \in R, x ^ {2} +1 \neq 0 $” is the correct clause

c) $ \overline {C}: $ “$ \exists x \in Z, k (k + 1) (k + 2) $ undivided by 3” is the clause wrong

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