If the truth value is true for the following statements :
A <---> B
A ⋁ B
G ---> ∼ D
D
What is the truth value of the statement B ?
Similar to how the value of x^2 + 3x - 5 is determined by the value of x, the truth values of these statements are determined by the truth values of the variables they contain.
By B, do you mean a formula that consists of just one propositional variable B, or do you mean the second formula on your list, i.e., A ⋁ B? In any case, see the remark above.
I am sorry; I read the question wrong. I thought that you need to find the truth values of the first four statements.
If A \/ B is true, then A is true or B is true. In the second case, we know the truth value of B. What can you say in the first case taking into account that A <-> B is true?