Question #47045

In the context of admission to IGNOU, give example of the following-
1.an implication ,
2.the converse of (1) above.
3.a two way implication which is true.
4.a statement involving both for all and there exit.
5.the contrapositive of (1) above.

Expert's answer

Answer on Question #47045 – Math – Discrete Mathematics

In the context of admission to IGNOU, give example of the following-

1. an implication,

2. the converse of (1) above.

3. a two way implication which is true.

4. a statement involving both for all and there exit.

5. the contrapositive of (1) above.

Solution.

1. If today is Easter then tomorrow is Monday.

2. If tomorrow is Monday then today is Easter.

3. This program is correct if, and only if, it produces the correct answer for all possible sets of input data.

4. For all xRx \in R, there exists yRy \in R such that x+y=4x + y = 4.

5. If tomorrow is not Monday then today is not Easter.

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