Mistakes give rise to Problems- 4

Algebra Level 5

If you distribute the modulus\textbf{modulus} sign over the content in it, it's a mistake, i.e. a+b=a+b\left| a+b \right| = \left| a \right| + \left| b \right| This is a big mistake\color{#D61F06}{\textbf{big mistake}}, it's a false property\color{#3D99F6}{\textbf{false property}}!


But for how many pairs of integers (a,b)(a,b) such that 10a10-10 \leq a \leq 10 and 10b10-10 \leq b \leq 10, is the above said "false" property seen to be "true" ?


Note:- a\left| a \right| means the absolute value of aa.

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