If x = 6 and y = - 2 then x - 2 y = 9 . The contrapositive of this statement is

Question

If x = 6 and y = - 2 then x - 2 y = 9 . The contrapositive of this statement is, If x - 2 y ≠ 9 then x ≠ 6 or y ≠ - 2, If x - 2 y ≠ 9 then x ≠ 6 and y ≠ - 2, If x - 2 y = 9 then x = 6 and y = - 2, None of these

MARKS App · Accepted Answer

Let p , q , r be the three statements such that p : x = 6 , q : y = - 2 and r : x - 2 y = 9 Here given statement is p ∧ q → r and its contrapositive is ~ r → ~ p ∧ q i.e. ∼ r → ∼ p ∨ ∼ q i.e. if x - 2 y ≠ 9 then x ≠ 6 or y ≠ - 2

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