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30 December, 18:23

Solve the inequality

|0.2x+6| <0.15

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Answers (1)
  1. 30 December, 21:19
    0
    - 30.75 < x < - 29.25

    Step-by-step explanation:

    Inequalities of the type | x | < a, always have solutions of the form

    - a < x < a

    Given

    | 0.2x + 6 | < 0.15, then

    - 0.15 < 0.2x + 6 < 0.15 (subtract 6 from all 3 intervals)

    - 6.15 < 0.2x < - 5.85 (divide all intervals by 0.2)

    - 30.75 < x < - 29.25
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