Janenett R.

# If a+b is negative, which statement must be true ?

(a)a < 0, b<0
(b) a<0
(c) a<0, b> 0
(d) a<-b
i think I understand the question and my answer might be a but I'm not sure how to show my work

## 3 Answers By Expert Tutors

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Masters of Education Graduate with Mathematics Expertise

Michael J.

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08/06/15

Gregg O.

The key word in the problem statement is MUST.  Choice (a) is not true for all cases in which a+b<0, while choice (d) is.
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08/06/15

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Mark M.

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If a+b<0, a and b do not both have to be negative.  For example, if a = -3 and b = 2, then a+b<0, but a and b are not both negative. So, answer (A) is not correct.  The answer is (D).
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08/06/15

Arthur D.

tutor
I agree with Mark M. The key wording is "... must be true." Answer a) does not have to be true for a+b to be negative.
Roman C. has it correct.
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08/06/15

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