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Let p, q, and r be true, false and false, respectively. Determine the truth value of the following? (p → q) ∧∼ r

User Joe Allen
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Final answer:

The truth value of the expression (p → q) ∧ ∼ r is false.

Step-by-step explanation:

To determine the truth value of the expression (p → q) ∧∼ r, we need to substitute the given truth values for p, q, and r. The given values are true for p, false for q, and false for r.

So, (p → q) becomes (true → false), which is false. And ∼ r becomes ∼ false, which is true.

Therefore, the truth value of the expression (p → q) ∧ ∼ r is false ∧ true, which is false.

User Somi
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