Hello everyone, another pratice exam question i'm having issues on.(adsbygoogle = window.adsbygoogle || []).push({});

Which statement is equivalent to the following statement?

It is not true in general that two real numbers must be equal if their squares are equal.

Would i write an existance statement like

There exists 2 real numbers, x and y, such that if x = y then x^2=y^2.

But the statement is It is NOT true...so now would i take the negation of that existance statement and get...

~(There exists 2 real numbers, x and y, such that if x = y then x^2=y^2.) =

There are 2 real numbers, x, and y, such that x = y and x^2 != y^2.

But this isn't right, because the answer is the following:

THere are two different real numbers that have the same square.

I don't see how they came up with this.

Any help would be great.

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# Homework Help: HOw do u decode this statement to find its equivalent?

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