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r - Check to see if a value is within a range?

I have a dataset in a data.table format that looks as such:

ID     time.s     time.e
1       1         2
2       1         4
3       2         3
4       2         4

I want to check to see if the value 1 is within time.s and time.e so that the end result would look like

[1] TRUE TRUE FALSE FALSE

How would I go about this? I have tried to use

 a[1 %in% seq(time.s, time.e)]

But all I get is all TRUE values. Any recommendations?

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Also, this works:

with(dat, time.s <= 1 & time.e >= 1)

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