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14 November, 06:31

Match each absolute value sentence with its equivalent compound sentence

1. |x - 5| = 4

2. |x - 5| < 4

3. |x - 5| > 4

4. |2x + 3| < 8

5. |2x + 3| > 8

a. - 4 < x - 5 < 4

b. - 8 < 2x + 3 < 8

c. x - 5 = 4 or x - 5 = - 4

d. x - 5 > 4 or x - 5 < - 4

e. 2x + 3 > 8 or 2x + 3 < - 8

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Answers (1)
  1. 14 November, 07:42
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    1. | x - 5 | = 4

    x - 5 = 4 or x - 5 = - 4

    2. | x - 5 | < 4

    -4 < x - 5 < 4

    3. | x - 5 | > 4

    x - 5 > 4 or x - 5 < - 4

    4. | 2x + 3 | < 8

    -8 < 2x + 3 < 8

    5. | 2x + 3 | > 8

    2x + 3 > 8 or 2x + 3 < - 8
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