We can sometimes use for + ing to talk about the purpose of a thing. When we do, it means the same as to + infinitive.
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What is that for? It is for opening envelopes
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This bell is for calling the waiter.
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This bell is to call the waiter.
When we talk about the purpose of somebody's actions, we cannot use for + ing.
However, it is sometimes possible to use for + noun for this.
We can also use for + object + infinitive to talk about a purpose.
We also use the pattern for + object + infinitive in sentences after is or was.
We can add details to a noun by using the pattern for + object + infinitive
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That is an expensive place for them to stay.
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There is a lot of work for us to do.
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There is no need for you to be so aggressive.
We also use the pattern for + object + infinitive after certain verbs and adjectives.
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I am waiting for him to make the first move.
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I have arranged for you to see the bank manager tomorrow morning.
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We are keen for you to take the job.
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I think it would be good for you to take a break now.
exercise 1
exercise 2