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Which statement is the converse of: if x < y, then x² < y²?

1. If x is not smaller than y, then x² is not smaller than y²
2. If x² < y², then x < y
3. If x² ≥ y², then x ≥ y
4. None of the above

Correct answer: If x² < y², then x < y

Solution

The converse of 'if P then Q' is 'if Q then P'. Here P: x<y, Q: x^2<y^2, so the converse is 'if x^2 < y^2, then x < y'.

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