Consider the following example to fill in the implication truth table
publish date: 3 years ago
volume_muteYour friend promised that if he/she passes the exam, then he/she will go to Friday soccer game. If your friend passes the test and goes to watch the soccer game, the remark was true. If your friend passes the test but doesn’t go to watch the soccer game, the remark was false. If your friend doesn’t pass the test, then—whether he/she goes to watch the soccer game or not—you could not claim that the remark was false. You would probably want to give the benefit of the doubt and say that the statement was true. By convention, A → B is considered true if A is false, regardless of the truth value of B.
| A | B | A → B |
| T | T | |
| T | F | |
| F | T | |
| F | F |
Choose from the following options which are ordered from top to bottom
Correct Answer
Reference
Mathematical Structures for Computer Science, Discrete Mathematics and its Applications, seventh edition, go-math-science.com