Answer to Question #74707 in Discrete Mathematics for m hassan

Question

2. Conditional equivalence. Which of the following implications are true?
a) If 2 + 2 = 5 then 2 + 2 = 6.
b) If 2 + 2 = 4 then the world is flat.
c) If both of the previous statements are true then 2 + 2 = 7.

Answer 1

Answer: a) and c) because
a) is true, since 0 -> 0 is 1 (true).
b) is false, since 1 -> 0 is 0 (false).
c) is true, since 0 -> 0 is 1 (true), as a) and b) cannot be true together.