Which best describe the meaning of the statement

" if A, then B"?

In general, a mathematical statement consists of two parts: the hypothesis or assumptions, and the conclusion. In your case, "If A, then B" or "A implies B" or "A ⇒ B". The conditions that make up "A" are the assumptions we make, and the conditions that make up "B" are the conclusion. Statement "If A, then B" is called logical implication.

For the "A ⇒ B" there are such possibilities:

1. A and B are both true, then "A ⇒ B" is also true;

2. A true, B false, then "A ⇒ B" is false;

3. A false, B true, then "A ⇒ B" is true;

4. A and B both false, then "A ⇒ B" is true.