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2 May, 07:09

Compare and contrast the solution of |2x + 8| > 6 and the solution of |2x + 8| < 6.

A. The solution of |2x + 8| > 6 includes all values that are less than - 2 or greater than - 14.

The solution of |2x + 8| < 6 includes all values that are greater than - 2 and less than - 14.

B. The solution of |2x + 8| > 6 includes all values that are less than - 7 or greater than - 1.

The solution of |2x + 8| < 6 includes all values that are greater than - 7 and less than - 1.

C. The solution of |2x + 8| > 6 includes all values that are less than - 1 or greater than - 7.

The solution of |2x + 8| < 6 includes all values that are greater than - 1 and less than - 7.

D. The solution of |2x + 8| > 6 includes all values that are less than - 14 or greater than - 2.

The solution of |2x + 8| < 6 includes all values that are greater than - 14 and less than - 2.

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Answers (1)
  1. 2 May, 08:53
    0
    Hello : 1)

    |2x + 8| < 6 : - 6 < 2x+8 < 6

    -6-8 < 2x < 6-8

    -14 < 2x < - 2

    conclusion : - 7 < x < - 1

    The solution of |2x + 8| < 6 includes all values that are greater than - 1 and less than - 7.

    2) |2x + 8| > 6 : 2x+8 6

    2x - 2

    conclusion : x - 1

    (B. The solution of |2x + 8| > 6 includes all values that are less than - 7 or greater than - 1.
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