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16 September, 21:26

Which of the following is an equivalent form of the compound inequality - 22 > - 5x - 7 ≥ - 3?

A) - 5x - 7 < - 22 and - 5x - 7 ≥ - 3

B) - 5x - 7 > - 22 and - 5x - 7 ≥ - 3

C) - 5x > - 22 and - 7 ≥ - 3

D) - 5x - 7 < - 22 and - 5x - 7 ≤ - 3

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Answers (1)
  1. 16 September, 22:48
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    A) - 5x - 7 < - 22 and - 5x - 7 ≥ - 3

    Working;

    Since the - 5x - 7 and - 22 have interchanged sides, the inequality sign also changes direction.

    For part two, - 5x - 7 ≥ - 3 remains unchanged.
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