For which values of kkk does the inequality x2+kx+k+3>0x^2 + kx + k + 3 > 0x2+kx+k+3>0 hold for all x∈Rx \in \mathbb{R}x∈R?
−6<k<2-6 < k < 2−6<k<2
k<−6k < -6k<−6 or k>2k > 2k>2
k<2k < 2k<2
k>−6k > -6k>−6