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Question
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Solution
p: x = 2 is root of the equation x2 – 5x + 6 = 0.
q: x = 3 is root of the equation x2 – 5x + 6 = 0
The negation of the above statements is
~ (p ∧ q) = (~ p ∨ ~ q): x = 2 is not the root of the equation
x2 – 5x + 6 = 0 or x = 3 is not the root of the equation
x2 – 5x + 6 = 0.
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