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**Question about "if and then" statements. IE implication statements.**

**1. Homework Statement**

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. Homework 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?