1. The problem asks us to express the given statements in symbolic form. 2. For i) "Some students can not appear in exam": - Let the domain be all students. - Define the predicate $A(x)$: "$x$ can appear in exam." - "Some students cannot appear" means there exists at least one student $x$ for which $A(x)$ is false. - Symbolically: $$\exists x \neg A(x)$$ 3. For ii) "Everyone cannot sing": - Let the domain be all people. - Define the predicate $S(x)$: "$x$ can sing." - "Everyone cannot sing" means for all $x$, $S(x)$ is false. - Symbolically: $$\forall x \neg S(x)$$ Final answers: i) $$\exists x \neg A(x)$$ ii) $$\forall x \neg S(x)$$