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6 December, 09:43

Which conjunction or disjunction is equivalent to the this inequality?

5 - 3 lp+4l ≤ - 10

Question 14 options:

A. p + 4 ≤ 5 AND p + 4 ≥ - 5

B. p + 4 ≤ 5 OR p + 4 ≥ - 5

C. p + 4 ≥ 5 OR p + 4 ≤ - 5

D. p + 4 ≥ 5 AND p + 4 ≤ - 5

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Answers (1)
  1. 6 December, 12:30
    0
    5 - 3lp + 4l ≤ - 10

    Subtract 5 from both sides.

    -3lp + 4l ≤ - 15

    Divide both sides by - 3.

    |p + 4| ≤ 5

    p + 4 ≤ - 5 or p + 4 ≥ 5

    Answer is option C. p + 4 ≥ 5 or p + 4 ≤ - 5
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