Answer:
[tex]x\in (-\infty , -4) \cup (-2,+\infty)[/tex]
Step-by-step explanation:
Solve the system of inequalities:
x + 4 < 0
OR:
6x > -12
The first inequality yields the solution:
x < -4
The second inequality gives the solution:
x > -2
The total solution is the disjunction of the individual solutions, i.e., the union of both.
It can be expressed as
[tex]\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}[/tex]