Step-by-step explanation:
You can solve it by considering them as separate inequalities that is considering them as,
(4 + x) < 0___(1) and (x + 2) < 0____(2)
Considering inequality (1)
4 + x < 0
x < -4
Considering inequality (2)
x + 2 < 0
x < -2
x < -2 and x < -4
