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Use the truth table to determine whether the statement ((¬ p) ∨ q) ∨ (p ∧ (¬ q)) is a tautology.

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Use the truth table to determine whether the statement ((¬ p) ∨ q) ∨ (p ∧ (¬ q)) is a tautology.

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Truth table for ((¬ p) ∨ q) ∨ (p ∧ (¬ q))

The last column contains only T. 

∴ The given statement is a tautology

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