Find the range of mmm such that x2+2mx+4m−3>0x^2 + 2mx + 4m - 3 > 0x2+2mx+4m−3>0 for all x∈Rx \in \mathbb{R}x∈R.
m∈(0.5,3)m \in (0.5, 3)m∈(0.5,3)
m∈(−3,0.5)m \in (-3, 0.5)m∈(−3,0.5)
m∈(−1,3)m \in (-1, 3)m∈(−1,3)
m∈(−2,2)m \in (-2, 2)m∈(−2,2)