MathCastle
Proof Writing & Problem SolvingMedium

Proof Writing & Problem Solving · Medium problem

The statement "if a<ba < b, then a2<b2a^2 < b^2" is false for some real numbers. For how many ordered pairs (a,b)(a, b) of integers with −5≤a<b≤5-5 \le a < b \le 5 is it false?

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