Answer:
A
Step-by-step explanation:
Both lines start and end at x = - 2
The upper line has a positive slope and a y- intercept of + 4
The start has a closed circle indicating x can equal 2, thus
x + 4 x ≥ - 2
The lower line has a negative slope and a projected y- intercept of - 2
The end has a closed circle but cannot equal - 2 as the other line can equal - 2, thus
- x - 2 x < - 2
Hence
- x - 2 if x < 2
x + 4 if x ≥ - 2 → A