TD Sheet 1: Mathematical Logic
Exercise 4
Show that for all \( n \in \mathbb{N} \), \( n^2 + 3n + 2 \) is even.
Exercise 5
Show that the following statement is false: \( \forall n \in \mathbb{N}, (2 \text{ divides } n) \land (4 \text{ divides } n) \Rightarrow (8 \text{ divides } n) \).
Exercise 6
Is it true that for all \( x \in \mathbb{R} \), we have: \( x \leq 2 \Rightarrow x^2 \leq 4 \)?
آخر تعديل: الجمعة، 7 نوفمبر 2025، 9:01 AM