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Rina8888 [55]
2 years ago
7

Solve the following inequality. Use interval notation. ​

Mathematics
1 answer:
Svetach [21]2 years ago
8 0

9514 1404 393

Answer:

  (-∞, -1/3) U (3, ∞)

Step-by-step explanation:

The given inequality is equivalent to two inequalities (joined with OR).

<u>-(3x -4) +3 ≥ 8</u>

  -3x +7 ≥ 8 . . . . . . eliminate parentheses

  -3x ≥ 1 . . . . . . . subtract 7

  x ≤ -1/3 . . . . . divide by 3

<u>3x -4 +3 ≥ 8</u>

  3x ≥ 9 . . . . . add 1

  x ≥ 3 . . . . . . divide by 3

Then the solution to the inequality is the union of these intervals:

  x ∈ (-∞, -1/3) ∪ (3, ∞)

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