Question about "if and then" statements. IE implication statements. 1. The problem statement, all variables and given/known data When something is for example asking for: if |x-3|<δ, prove that |x+3| <δ + k (where k is a constant) are they supposing it's true? Like are they giving you a hypothesis? How do implication statements work? 2. Relevant equations 3. The attempt at a solution I say yes that the "if" is the hypothesis. Then the "then" is what we are trying to prove right?