Question

Suppose A is true, B is false. Find the truth values of the indicated statement.

Answer 1

Solution:

Consider the following proposition:

$\urcorner(A\wedge B)$

By Morgan's laws, this proposition is equivalent to

$\urcorner(A\wedge B)\text{ = }\urcorner A\lor\urcorner B$

Thus, if A is true then not A is false, and if B is false then not B is true. On the other hand, false or true is equal to true. We can conclude that the correct answer is:

TRUE