Algebra - Thomas W. Hungerford

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If P and Q are statements, then the statement "P and Q" is true if both P and Q are true and false otherwise. The statement "P or Q" is true in all cases except when both P and Q are false. An implication is a statement of the form "P implies Q" or "if P, then Q" (written symbolically as P -> Q). An implication is false if P is true and Q is false; it is true in all other cases.

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