Which of the following describes the set of integers xxx such that x2≡x(mod6)x^2 \equiv x \pmod{6}x2≡x(mod6)?
x≡0,1(mod6)x \equiv 0, 1 \pmod{6}x≡0,1(mod6)
x≡0,1,3,4(mod6)x \equiv 0, 1, 3, 4 \pmod{6}x≡0,1,3,4(mod6)
x≡0,3(mod6)x \equiv 0, 3 \pmod{6}x≡0,3(mod6)
x≡1,4(mod6)x \equiv 1, 4 \pmod{6}x≡1,4(mod6)