Negative Number Products

Which of the following is not true if h, m, and k are integers and

h < m < k < 0?
  1. mk < hk
  2. mh < km
  3. h + k < m + k
  4. 0 < kh


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Multiplying both sides of an inequality by a negative integer reverses the sense of the inequality, so (b) is false. The other statements are true.

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