Are pcie 3.0 graphics cards compatible with pcie 2.0 ports?

I presume that you mean to ask whether a PCIe 3.0 card can be used in a PCIe 2.0 slot on your motherboard. The answer to that question is yes. PCIe standards are all backward-compatible, so do not sweat that.

For best performance, however, you would prefer to put a PCIe 3.0 card in the same type of slot.

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