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  3. 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

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

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问题 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.
选项 A、-5
B、-4
C、-3
答案A, B, C
解析 The correct answer is A, B, and C. To solve this problem, first translate the words into their mathematical equivalents:
    4 more than twice n translates to 4 + 2n. You are given that this quantity is a negative number, which translates to 4+2n<0.
    6 more than n translates to 6+n. You are given that this quantity is a positive number, which translates to 6+n>0.
    Solve each inequality as follows:
4+2n<0
n<-2
6 + n>0
n>-6
    So, n could be any number less than -2 and greater than -6.
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