N 9
First inequality
The shaded area is below the solid horizontal line at y=5
therefore
the first inequality is
[tex]y\leq5[/tex]
Second inequality
The shaded area is above the dashed line y=kx
so
Find out the equation of the dashed line
The dashed line represents a direct variation (passes through the origin)
we need only one point to calculate the value of K
point (2,2)
k=y/x=2/2=1
the equation is y=x
therefore
the second inequality is
y > x
therefore
The system of inequalities is
y ≤ 5
y > x
