Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y < 2x-5[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the dashed line [tex]y=2x-5[/tex]
The slope of the dashed line A is positive m=2
The y-intercept of the dashed line A is (0,-5)
The x-intercept of the dashed line A is (2.5,0)
[tex]y >-3x+1[/tex] ----> inequality B
The solution of the inequality B is the shaded area above the dashed line [tex]y=-3x+1[/tex]
The slope of the dashed line B is negative m=-3
The y-intercept of the dashed line B is (0,1)
The x-intercept of the dashed line B is (1/3,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
The graph in the attached figure
