Restrected access to data by date range

I have a report that I want to share with one of my clients but I want to only share with them data from a specific date, I want the client to see data from previous days, and that their data access will start from a set day 

I tried the default date range but the user can select dates before set dates and see the data

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Try a filter property. Users won't be able to see or edit those - so you can set a date range restriction behind the scenes.