Asking Permission
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Modals are commonly used for asking permission
Can I ask you a question?
May I have a piece of cake?
Could I get you to turn off the lights
Some other common phrases are
Do you mind if I smoke?
Would you mind if I asked you something?
Is it okay if I sit here?
Would it be all right if I borrowed your lawn mower?
Giving Permission
Sure.
Go ahead.
No problem.
See also:
Grammar: Common Modal Usage
Textbook Recommendation:
Touchy Situations, Chapter 7
