# math

posted by Anonymous

Which statement is logically equivalent to ~a ¨ b?

a ¨ ~b
b ¨ ~a
~b ¨ a
~b ¨ ~a

1. MathMate

In Western-8859-1 encoding, the question is:
Which statement is logically equivalent to ~a → b?

a → ~b
b → ~a
~b → a
~b → ~a

~b → a is the correct answer.

Consider the statement
a=I ate
b=I am hungry

So
~a → b means
If I did not eat, I am hungry.
Try to interpret the rest of the statements, and the only one that is logically equivalent is
If I am not hungry, I ate. (~b→a)

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