It's correct answer is

(-infinite, -4)

Hello Arjun,

First of all When you  solve the inequality x+3/x+4 >=1 this solution will take around 3-4 steps and after solving the come to (-1/x+4) and at the last the limit of the x will be and the  solution set you can say will be x € (-infinity, - 4).

One should solve such type of questions on daily basis.

Hope this helps,

All the best and Thank you!