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10 March, 01:02

Solve the inequality |x - 6| - 10 < 1 Write the answer as a compound inequality

Answers are;

-5 > x > 17

-11 < x < 11

x < 17

-5 < x < 17

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Answers (1)
  1. 10 March, 03:44
    0
    |x-6| < 1 + 10 (move 10 to the right side)

    |x-6| < 11

    1) x-6 = 6)

    2) - x+6 < 11 (here x < 6)

    1) x<17

    2) x>-5

    so we get - 5 < x < 17

    the answer: (-5; 17)
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