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I have the command:

execute @e[type=Villager] ~ ~ ~ effect @a[r=!4] 19 5 2

It should give poison to all players that are not in the radius of 4 blocks around my villager, but it does not work.

Is there an issue with [r=!4]?

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    Instead of using @a[r=!4], that apparently does not work because you can't negate 4 (it will generate some negative number, probably around -2^31), use @a[rm=5]. rm means minimum radius, so that everyone who is 5 or more (more than 4) blocks away from your villager gets affected by the command. – GiantTree Jul 3 '15 at 12:59
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    @GiantTree, That's correct! You should post it as an answer. – Nick B. Jul 3 '15 at 13:29
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Replace the @a[r=!4] with @a[rm=5]. The rm stands for minimum radius, so everyone with a minimum radius of 5 will be affected, but everyone with a radius that is less than 5 will not be affected. Your final command should then be:

execute @e[type=Villager] ~ ~ ~ effect @a[rm=5] 19 5 2

EDIT: I saw afterwards that @GiantTree also said this, sorry if it is seen as a copy, but I didn't see it there.

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