Answer:
[tex]y > -x+4[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area above the dotted line
The slope of the dotted line is negative
The y-intercept of the dotted line is (0,4)
The x-intercept of the dotted line is (4,0)
Find the slope of the dotted line
[tex]m=(0-4)/(4-0)\\ m=-1[/tex]
The equation of the dotted line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=-1[/tex]
[tex]b=4[/tex] -----> y-intercept
substitute
[tex]y=-x+4[/tex]
Find the equation of the inequality
Remember that the solution is the shaded area above the dotted line therefore
The inequality is
[tex]y > -x+4[/tex]
