多选题

If 4 more than twice n is a negative number and 6 more than n is a positive number, which of the following numbers could be the value of n? (Select all such numbers.)

A-5

B4

C-3

解析：
根据题目中的已知条件可得，4+2n<0，6+n>0，把各个选项分别代入两个不等式中检验，同时符合两个不等式可得到n可以等于-5，-4，-3，故正确答案为AC。