Determine the range of mmm such that the inequality x2+mx+4x2+1<2\frac{x^2 + mx + 4}{x^2 + 1} < 2x2+1x2+mx+4<2 holds for all real xxx.
m<2m < 2m<2
∣m∣<2|m| < 2∣m∣<2
m>2m > 2m>2
∣m∣<4|m| < 4∣m∣<4