B1 visa to USA - can I travel for leisure purpose too?

I have a 6-month B1 (business) visa to the USA.
I plan to visit USA for business for 4 weeks (training for my company) and then take 2 week-long vacation to travel around. Of course, you can never be sure if you are allowed into the USA, but theoretically, there should be no issue with the fact that the visit is not solely business, right?
I am afraid that if some further questioning takes place and the security officer sees my business documents confirming only a month's stay with my company, I might be given the permit to stay only for 4 weeks, not at least 6 that I want.
Sorry if it was answered before, but I searched and most questions are about B1/B2 visa (Can I use B1/B2 visa to travel to the US without a business purpose?). When applying for a visa in my country I also discovered that slight differences in phrasing the travel purpose ("working" instead of "internal company training") can result in not getting a B1/B2 but B1 for a shorter period instead (but maybe I am paranoid).
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Can I travel for leisure on B-1 visa?
Yes, you can use it for leisure/tourist purposes.What are you allowed to do on a B-1 visa?
Traveling for a scientific, educational, professional or business convention, or a conference on specific dates. Settling an estate. Negotiating a contract. Participating in short-term training.What does a B1 B2 visa allow?
What is a B1/B2 visa? The B-1/B-2 visa is a temporary, non-immigrant visa that allows the holder to travel to the United States for either business or tourism purposes.How often can you travel on B-1 visa?
In general, travelers are not permitted to stay for longer than six months on a single visit. However, in the case of a B1 visa a traveler may be permitted to stay for one year if immigration determines that such a period is necessary for business reasons.B1 Visa Requirements: The 4 You Should Know
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