How would I use and if statement based on between two numbers??

Example---

For cell A6: IF A5 is between .99 and 5, 1, 0

A5 = .25 ....so A6 is 0

A5 = 1 ......so A6 is 1

A5 = 4 .....so A6 is 1

A5 = 5 ......so A6 is 0

A5 = 6 ......so A6 is 0

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ALSO, have one: IF A5 is equal to 1 or between 1 and 5, but not equal or
more than 5?

Thanks