Answer:
The solutions of the inequality exist in quadrants I,II and III
Step-by-step explanation:
we have
[tex]y > \frac{1}{5}x+3[/tex]
The solution of the inequality is the shaded area above the dashed line
[tex]y=\frac{1}{5}x+3[/tex]
The slope of the dashed line is positive (m=1/5)
The y-intercept of the dashed line is (0,3)
The x-intercept of the dashed line is (-15,0)
using a graphing tool
see the attached figure
The solutions of the inequality exist in quadrants I,II and III