Find the range of mmm such that the inequality x2+2mx+m+2>0x^2 + 2mx + m + 2 > 0x2+2mx+m+2>0 is satisfied for all real xxx.
m<−1m < -1m<−1 or m>2m > 2m>2
−1<m<2-1 < m < 2−1<m<2
m<−2m < -2m<−2 or m>1m > 1m>1
−2<m<1-2 < m < 1−2<m<1