Solve for the range of kkk such that the inequality x2+2mx+4m−3>0x^2 + 2mx + 4m - 3 > 0x2+2mx+4m−3>0 holds for all real xxx.
m∈(−3,1)m \in (-3, 1)m∈(−3,1)
m∈(−2,2)m \in (-2, 2)m∈(−2,2)
m∈(−1,3)m \in (-1, 3)m∈(−1,3)
m∈(0,4)m \in (0, 4)m∈(0,4)