Learn English – Till and up to difference

There seems to be some regional variation on this topic, so I will report from my AmE perspective.

In your particular example, either option would be understood to mean the same thing: the speaker works at some point during the course of each weekday (Monday, Tuesday, Wednesday, Thursday, Friday).

“From” would probably be omitted in either case as it is not needed to indicate a day range.

Generally speaking, I was always taught to indicate inclusive ranges with the word “through”. This generally has more application in studying mathematics, but could have an impact such as the following:

1. Read up through chapter 3.
2. Read up to chapter 3.

Receiving instruction #1 with no further clarification, I would read chapters 1, 2, and 3. Instruction #2, on the other hand, presents a quandary. It seems most likely that I’m supposed to read chapters 1 and 2, stopping when I reach the start of chapter 3, and that’s indeed what I would think if I were given no other hint as to the instructor’s wishes.

As you can see there’s a lot of iffiness here, so even among native speakers there is occasionally confusion and/or clarification. A misunderstanding such as the following would not be unheard of:

A: We’ll be on the boat Wednesday to Saturday next week.
B: So you’ll be back on land that Saturday?
A: No, we dock Sunday morning and we’re spending Sunday on the road.

As always, consider your audience and the context. Working those five days is such a common occurrence that neither word is likely to confuse anyone as to what you mean. In other cases, you may wish to add “inclusive” after the range to clarify that the whole of the end-limit you’ve named should be considered part of the deal.

There isn't much of a difference here. In sentence B you're using the sentence structure
{Do something} for {Reason}. Examples include:

• "Go to New Zealand for business"
• "Go home for your mother's birthday"
• "Read a book for fun"

Sentence A uses a specific kind of English idiomatic phrase {Go somewhere} on {type of time}. By 'type of time' I usually mean something like "business" or "vacation". Examples include:

• "Go to New Zealand on business"
• "Go to Florida on vacation"
• "Visit Australia on holiday"

but not

• "Go to New Zealand on February"

If you're ever unsure whether to use "on" or "for" in that type of sentence, "for" almost always works, and "on" is only correct for a specific few cases. For example, you could say "Go to New Zealand for February" and that would mean you were spending the entire month in New Zealand.