Find the range of mmm such that x2+mx+1>0x^2 + mx + 1 > 0x2+mx+1>0 for all x∈[1,2]x \in [1, 2]x∈[1,2].
m>−2.5m > -2.5m>−2.5
m>−1.25m > -1.25m>−1.25
m>−2m > -2m>−2
m<−2.5m < -2.5m<−2.5