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6 May, 22:44

Solve and graph the inequality |5 - v| < 6.

Write the inequality as two inequalities without absolute value.

Solve the inequality and write the solution set.

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Answers (2)
  1. 7 May, 00:49
    0
    5 - v = 0

    -5 + v < 6, 5 - v < 0

    1) - v < 6 - 5 (move 5 to the right side and then multiply by - 1 both sides of the inequality)

    v > - 1 (don't forget that here v < = 5)

    2) v < 6 + 5 (move - 5 to the right side)

    v < 11 (here v should be more than 5)

    so from 1) you get that v is from - 1 to 5 inclusive (-1; 5]

    and from 2) you get that v is from 5 to 11 (5; 11)

    so by adding up results from 1) and 2) you get v is (-1; 11)

    answer: (-1; 11)
  2. 7 May, 02:04
    0
    -1 < v < 11

    Step-by-step explanation:

    (5 - v) < 6

    - (5 - v) < 6

    5 - v < 6

    v > - 1

    -5 + v < 6

    v < 11

    -1 < v < 11
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