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Question
Write the converse, inverse, contrapositive of the following statement.
If 2 + 5 = 10, then 4 + 10 = 20.
Solution
Let p : 2 + 5 = 10
q : 4 + 10 = 20
∴ The given statement is p → q.
Its converse is q → p.
If 4 + 10 = 20, then 2 + 5 = 10
Its inverse is ~p → ~q.
If 2 + 5 ≠ 10 then 4 + 10 ≠ 20.
Its contrapositive is ~q → ~p.
If 4 + 10 ≠ 20 then 2 + 5 ≠ 10.
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