The reaction of sodium chloride with bromine gas is a chemical displacement reaction.

Explanation

### Step-by-Step Solution:

1. **Identify the Reactants**: The reactants in the given reaction are sodium chloride (NaCl) and bromine gas (Br₂).

2. **Understand the Nature of the Reaction**: A chemical displacement reaction occurs when a more reactive element displaces a less reactive element from a compound.

3. **Determine Reactivity of Elements**: In this case, we need to compare the reactivity of bromine (Br) and chlorine (Cl). Chlorine is more reactive than bromine.

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