
### Instruction: help me answer this question Is the statement “(a, a) ∈ R, for all a ∈ N” true?, think step by step
### Assistant: For (a, a) to be an element of R, a should be equal to the square of some natural number. However, this is not true for all a belonging to N. For example, 2 ∈ N, but √2 ∉ N. , The answer is No, it is not true.
