Answer:
B
Step-by-step explanation:
Establish the equation of the broken line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-(-2)}{2-0}[/tex] = [tex]\frac{0+2}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = x - 2 ← equation of line
The solution lies in the shaded area below the line.
Since the line is broken then no points in the solution lie on the line, then
y < x - 2 → B
