It's "on Tuesday". For days and dates, we use the preposition "on". In casual situations, many natives omit the preposition before the day of the week.
We always say "on Tuesday". For days, we always use the preposition "on".
We're planning to attend a workshop on Tuesday.
We're planning to attend a workshop in Tuesday.
When using the plural form (Tuesdays), follow the same rule.
On Tuesdays, we usually go for a long walk to enjoy the fresh air.
In casual conversations, some natives tend to omit the preposition before Tuesday. This is more frequent in American English.
I'll call you Tuesday afternoon.
I'll call you on Tuesday afternoon.
To talk about one of the Tuesdays in the year, we use the article "a".
My birthday's on a Tuesday this year.
Instead of "on", you can use other adjectives or determiners, such as:
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This:
This Tuesday is our silver anniversary.
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Every:
Every Tuesday morning, James wakes up early to practice yoga.
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Last:
Last Tuesday, we went for a relaxing stroll along the beach.
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Next:
The art exhibition opens next Tuesday.
When we say "this", "every", "last", or "next", we don't include the preposition "on".
We'll call you next Tuesday.
We'll call you on next Tuesday.
Follow the same guidelines with the rest of the days of the week: