Answer:
8 < x
see attached for the graph
Explanation:
You want the compound inequality and the graph that represents the solution to the system ...
2x-5>3 and -4x+7<-25
Solution
The first inequality has the solution ...
2x -5 > 3 . . . . . given
2x > 8 . . . . . . . add 5
x > 4 . . . . . . . divide by 2
The second inequality has the solution ...
-4x +7 < -25
-4x < -32 . . . . . . subtract 7
x > 8 . . . . . . . . divide by -4
The solution is the intersection of these solution spaces:
4 < x and 8 < x
The intersection is ...
8 < x . . . . . solution to the compound inequality
The graph is attached.