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18 December, 16:03

Which best describes the solution set for the compound inequality below? (pick the best answer)

2 (x + 7) - 1 > 15 or 3 (x + 2) < 2x + 7

A. no solution

B. x = 1

C. all real numbers except x = 1

D. all real numbers

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Answers (1)
  1. 18 December, 16:05
    0
    2 (x + 7) - 1 > 15 3 (x + 2) < 2x + 7

    2x + 14 - 1 > 15 3x + 6 < 2x + 7

    2x + 13 > 15 3x - 2x < 7 - 6

    2x > 15 - 13 x < 1

    2x > 2

    x > 2/2

    x > 1

    so, x > 1 OR x < 1 ... all real numbers except 1
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