Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x-4y < 0[/tex]
isolate the variable y
[tex]-4y < -x[/tex]
Divide by -4 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
[tex]y > \frac{x}{4}[/tex]
The solution of the inequality is the shaded area above the dashed line [tex]y=\frac{x}{4}[/tex]
The slope of the dashed line is positive m=1/4
The y-intercept of the dashed line is (0,0)
The x-intercept of the dashed line is (0,0)
using a graphing tool
The graph in the attached figure
