Thank you! It has been modified to
[quote]
Based on our previous understanding of interference, we might expect that if this path-length difference was equal to an integer number of wavelengths, we would see constructive interference, and if the path-length difference was an integer number of wavelengths, [b]plus or minus one half of the wavelength[/b], we would see destructive interference.
[/quote]

I hope you can provide an even better suggestion!