Let A, B, C be three statements. The proposition is true if: A) A, B and C are true B) A is true, B and C are false C) Aand C are true and B is false D) A is false, B and C are true E) A and B are true and C is false
Question
Let A, B, C be three statements. The proposition is true if: A) A, B and C are true B) A is true, B and C are false C) Aand C are true and B is false D) A is false, B and C are true E) A and B are true and C is false
Solution
The proposition is true if any of the conditions A, B, C, D, or E are met.
A) If A, B, and C are all true, then the proposition is true. B) If A is true but both B and C are false, then the proposition is true. C) If both A and C are true but B is false, then the proposition is true. D) If A is false but both B and C are true, then the proposition is true. E) If both A and B are true but C is false, then the proposition is true.
In other words, the proposition is true if any one of these five conditions is met.
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