An algebra problem by Mohamed Ahmed Abd El-Fattah

Let functions f & g be : f(x) = $x^{2}$ , g(x) = $|x-2|$ . Then the opposite graph represents both functions f & g .

Without calculators, And using the opposite graph and your mental logic only. Find the middle number in the Solution Set which satsfies the inequality $x^{2} < |x-2|$

Hint : write down the Solution Set as an interval then find the middle number in this interval .