0000:00:00:00:00Start10Number 10ExplanationFor (2m+1)x2−4(m+1)x+m>−4(2m + 1)x^2 - 4(m + 1)x + m > -4(2m+1)x2−4(m+1)x+m>−4 to hold for every real xxx, the values of mmm must satisfy...m<0∨m>12m < 0 \lor m > \frac{1}{2}m<0∨m>21−12<m<12-\frac{1}{2} < m < \frac{1}{2}−21<m<210<m<120 < m < \frac{1}{2}0<m<210≤m<120 \leq m < \frac{1}{2}0≤m<21m<−12∨m>0m < -\frac{1}{2} \lor m > 0m<−21∨m>0
10Number 10ExplanationFor (2m+1)x2−4(m+1)x+m>−4(2m + 1)x^2 - 4(m + 1)x + m > -4(2m+1)x2−4(m+1)x+m>−4 to hold for every real xxx, the values of mmm must satisfy...m<0∨m>12m < 0 \lor m > \frac{1}{2}m<0∨m>21−12<m<12-\frac{1}{2} < m < \frac{1}{2}−21<m<210<m<120 < m < \frac{1}{2}0<m<210≤m<120 \leq m < \frac{1}{2}0≤m<21m<−12∨m>0m < -\frac{1}{2} \lor m > 0m<−21∨m>0
