graph the solution of each compound inequality on a number line: 4m/3+5>2 and 4<-2(m-3)-7?

Answer 1

4m/3 + 5 > 2
4m/3 > -3
4m > -9
m > -9/4

4 < -2(m-3) - 7
11 < -2(m-3)
11 < -2m + 6
5 < -2m
-5/2 > m

so -9/4 < m < -5/2
-9/4 < m < -10/4

this has no solutions, so the graph is the empty set.