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प्रश्न
Write converse, inverse and contrapositive of the following statement.
If x < y then x2 < y2 (x, y ∈ R)
Write the inverse and contrapositive of the following statement:
If x < y then x2 < y2
उत्तर
Let p: x < y,
q: x2 < y2
Then the symbolic form of the given statement is p → q.
Its converse is q → p.
If x2 < y2, then x < y.
Its inverse is ∼p → ∼q.
If x `≥` y, then x2 `≥` y2.
OR
If x `≮` y, then x2 `≮` y2.
Its contrapositive is ∼q → ∼p.
If x2 `≥` y2, then x `≥` y.
OR
If x2 `≮` y2, then x `≮` y.
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