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31 August, 04:49

Which conjunction or disjunction is equivalent to the this inequality?

5-3 |p+4| < = - 10

p + 4 ≤ 5 AND p + 4 ≥ - 5

p + 4 ≤ 5 OR p + 4 ≥ - 5

p + 4 ≥ 5 OR p + 4 ≤ - 5

p + 4 ≥ 5 AND p + 4 ≤ - 5

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Answers (1)
  1. 31 August, 07:55
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    (5 - 3) |p + 4| ≤ - 10

    => (2) |p + 4| ≤ - 10

    => | p - 4 | ≤ 10 / 2

    => | p - 4 | ≤ 5

    => (p + 4) ≤ - 5 and - (p+4) ≤ - 5

    - (p + 4) ≤ - 5 is equivalent to p + 4 ≥ 5

    So, the answer is p + 4 ≤ - 5 and p + 4 ≥ 5. That is the fourth option

    p + 4 ≥ 5 AND p + 4 ≤ - 5.
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