Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]3x+5y\leq 10[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the solid line [tex]3x+5y=10[/tex]
The slope of the solid line is negative
The y-intercept of the solid line is (0,2)
The x-intercept of the solid line is (3.3,0)
[tex]x-y < -1[/tex] ----> inequality B
Multiply by -a both sides
[tex]-x+y > 1[/tex]
The solution of the inequality B is the shaded area above the dashed line [tex]-x+y=1[/tex]
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,1)
The x-intercept of the dashed line is (-1,0)
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
