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Inductive Step

Show that the...

Question

Show that the statement "For any real number $a$ and $b$ , $a^{2} = b^{2}$ implies that $a = b$ " is not ture by giving a counter-example.

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Solution

Let $a = 1, b = - 1$
Here,
$a^{2} = b^{2}$ but $a \neq b$ .
Hence we observe that the given statement is not true.

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