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Find the negative of P→ Q

Question

Find the negative of P→ Q

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Solution

The negative of P→ Q is P ∧ ¬Q.

Here's the step by step process:

  1. The given statement is P→ Q, which means "if P then Q".

  2. The negation of a conditional statement is formed by keeping the first statement and negating the second.

  3. So, the negation of P→ Q is "P and not Q", which is symbolically represented as P ∧ ¬Q.

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