i think the infinity addition was more of a situational part. cuz usually by then, you seriously have a choice to build whatever you want.
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When I build Irelia, I usually only build Tri-force and Wits' End as damage items and the rest is tanky items (randuins, merc og GA usually). But if we have a tank-jungler like Maokai or Rammus or I'm fed, and I need another damage-item I usually dont know what to build. I Madred's bloodrazor a good damage item on her, or is there a better item I should build?
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Excerpt:
"Now with IE: (no raw damage this time) over 10 hits
606.1 + 293.6 + 606.1 + 293.6 + 606.1 + 606.1 + 293.6 + 606.1 + 293.6 + 606.1 = 4811 damage
Under unfavorable conditions, you still have to hit them about 8 times, but under normal statistical conditions, maybe only 4-5 times, less if Exhausted or Ignited. This doesn't consider Trinity procs or your ult (only 4 times for sure, maybe 3 if you get lucky). IE is far superior to BT if you really need to kill someone quickly. You'll be able to kill most carries in the duration of the 2 second stun. (just wait for them to bring you lower, and stun, thus killing them.)"
The build goes: Merc's Treads, Wit's end, Trinity Force, Infinity Edge, Warmog's, Atma's (in no particular order)
This is against an AD carry who has appx 2300-2400 HP, with 80 resistances (both)