Answer:
[tex]y<\frac{1}{4}x+3[/tex]
Step-by-step explanation:
we know that
The solution of the inequality in the graph is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,3)
The dashed line pass through the points (0,3) and (4,4)
The slope of the dashed line is
[tex]m=(4-3)/(4-0)=1/4[/tex]
The equation of the dashed line in slope intercept form is
[tex]y=\frac{1}{4}x+3[/tex]
therefore
The inequality represented by the graph is
[tex]y<\frac{1}{4}x+3[/tex]
