**Question **# Explain which of following statements are true and which are false: \text { (a) } \forall x \in \mathbb{R} \exists y \in \mathbb{N} x>y \text {. } \text { (b) } \forall x \in \mathbb{R} \exists y \in \mathbb{N} \quad xy \text {. } \text { (d) } \exists x \in \mathbb{R} \forall y \in \mathbb{N} \quad xy \text {. } \text { (f) } \forall y \in \mathbb{N} \exists x \in \mathbb{R} \quad xy \text {. } \text { (h) } \exists y \in \mathbb{N} \forall x \in \mathbb{R} \quad x