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The contrapositive of 'If x > 5 then x > 3' is
AIf x ≤ 3 then x ≤ 5
BIf x > 3 then x > 5
CIf x ≤ 5 then x ≤ 3
DIf x = 5 then x = 3
Answer & Solution
Correct answer: A. If x ≤ 3 then x ≤ 5
1. The contrapositive of p → q is ~q → ~p.
2. Here p: x > 5, q: x > 3; so ~p: x ≤ 5, ~q: x ≤ 3.
3. Hence the contrapositive: if x ≤ 3 then x ≤ 5.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 1 "Mathematical Logic" §1.5_
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