Preposition question

Are both of the following sentences correct? If they are both correct, do they have different meanings? Thank you.

Are you free on the week of April 23?
Are you free for the week of April 23?

How about: Are you free the week of April 23?

If forced to use a preposition, "during" might be a choice as well. "For" is OK. I wouldn't use "on."

I take '

chanbr said:

Are both of the following sentences correct? If they are both correct, do they have different meanings? Thank you.

Are you free on the week of April 23?
Are you free for the week of April 23?

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I wouldn't use "on" at all.
Are you free for the week of April 23rd? = Are you free the whole week?
Are you free during the week of April 23rd? = Are you free at any time during that week?

You also need to check what you mean by "the week of April 23rd". Is that the week which starts on April 23rd? The week which ends on April 23rd? The week which contains April 23rd?

emsr2d2 said:

I wouldn't use "on" at all.
Are you free for the week of April 23rd? = Are you free the whole week?
Are you free during the week of April 23rd? = Are you free at any time during that week?

You also need to check what you mean by "the week of April 23rd". Is that the week which starts on April 23rd? The week which ends on April 23rd? The week which contains April 23rd?

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Normally, "the week of" names the Monday that starts the week.

SoothingDave said:

Normally, "the week of" names the Monday that starts the week.

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Normally, yes, but in my previous job, a week ran from Sunday to Saturday, because we were a seven days a week operation, with a shift pattern which started on a Sunday. Consequently, after 20 years in that job, even though I don't do it any more, I still expect a week to start on a Sunday.

As long as the speaker and the listener have the same terms of reference as each other, there will be no misunderstanding.