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Show that the statement For any real nu...

Show that the statement For any real numbers a and b, `a^2=b^2`implies that `a = b` is not true by giving a counter-example.

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To show that the statement "For any real numbers a and b, if \( a^2 = b^2 \), then \( a = b \)" is not true, we will provide a counter-example. ### Step-by-Step Solution: 1. **Understand the statement**: The statement claims that if the squares of two real numbers are equal, then the numbers themselves must also be equal. 2. **Choose a counter-example**: We need to find two real numbers \( a \) and \( b \) such that \( a^2 = b^2 \) but \( a \neq b \). ...
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