x³+3>1, x³>-2.
If x<-1, x³<-1 which may or may not be greater than -2. For example, if x=-2, x³=-8 which is less than -2. So a is false.
b is also false.
If x=1, x³=1 which is greater than -2 so c is true.
If x≥-1, x³≥-1 which is greater than -2 so d is true. For example, if x=0, x³=0 which is greater than -2. And if x=-1, x³=-1 which is also greater than -2.
There should only be one correct answer, so check your question.