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1 September, 02:27

Which conjunction or disjunction is equivalent to the following inequality?

|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4

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Answers (1)
  1. 1 September, 02:53
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    Use the general definition:

    |x - a| ≤ k = > - k ≤ x - a ≤ k

    So, |a - 9| ≤ 4 = > - 4 ≤ a - 9 ≤ 4

    Which is a - 9 ≥ - 4 and a - 9 ≤ 4.

    That is the second option.

    Answer: a - 9 ≤ 4 and a - 9 ≥ - 4
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