What is the greatest integer value for m such that 5m-3 > 8m+21 +7m+3?
5m-3 > 8m+21 + 7m+3
5m-3 > 15m + 24
5m > 15m +27
-10m > 27
10m < -27
m < \(-\frac{27}{10}\)
m < \(-2\frac{7}{10}\)
The greatest integer value for m would be -3.
