Answer:
y < [tex]\frac{1}{2}x-3[/tex]
Step-by-step explanation:
We will find the equation of the dotted line first.
Let the equation of the line is,
y = mx + b
Here, m = slope and b = y-intercept of the line
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m = [tex]\frac{3}{6}[/tex]
m = [tex]\frac{1}{2}[/tex]
Y-intercept 'b' = -3
Therefore, equation of the line is,
y = [tex]\frac{1}{2}x-3[/tex]
Since, this line is a dotted line, it will represent an inequality with notation of less than or greater than (< or >)
Since, solution area (shaded area) of this inequality is below the line inequality will be,
y < [tex]\frac{1}{2}x-3[/tex]
