Let A ={-4,-3,-2,0,1,3,4} and R ={(a, b) ∈ A × A: b=|a|. or.b^2=a+1} be a relation on A. Then the minimum number of elements, that must be added to…

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