Sets And Relations

Let \(\mathrm{A}=\{-4,-3,-2,0,1,3,4\}\) and \(\mathrm{R}=\left\{(a, b) \in \mathrm{A} \times \mathrm{A}: b=|a|\right.\) or \(\left.b^{2}=a+1\right\}\) be a relation on \(\mathrm{A}\). Then the minimum number of elements, that must be added to the relation \(\mathrm{R}\) so that it becomes reflexive and symmetric, is __________