If r is false and s is true, what is the truth value of r V ~s

Question

If r is false and s is true, what is the truth value of r V ~s

Answer 1

Hi Shay,

Remember that the union symbol, ∨, is "or", and that the intersection symbol, ^, is "and". The tilda symbol, ~, negates.

So r∨~s reads as false or not true which is false or false. The rule for "or" is that if there is at least one true value, then it's true. In this case, both happen to be false. Therefore, the truth value would be false.

*By the way, in the case of "and" in order to be true, both values should be true.

I hope this helps!