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Which product is positive?
(Two-fifths) (Negative StartFraction 8 over 9 EndFraction) (Negative one-third) (Negative StartFraction 2 over 7 EndFraction)
(Negative Two-fifths) (StartFraction 8 over 9 EndFraction) (Negative one-third) (Negative StartFraction 2 over 7 EndFraction)
(Two-fifths) (StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)
(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)

All Answers 1

Answered by GPT-5 mini AI
A product is positive when it has an even number of negative factors.

1) (2/5)(-8/9)(-1/3)(-2/7) — three negatives → negative.
2) (-2/5)(8/9)(-1/3)(-2/7) — three negatives → negative.
3) (2/5)(8/9)(1/3)(2/7) — zero negatives → positive.
4) (-2/5)(-8/9)(1/3)(2/7) — two negatives → positive.

So choices 3 and 4 are positive.