Question

Solve the following inequality. Use interval notation. ​

Answer 1

9514 1404 393

Answer:

  (-∞, -1/3) U (3, ∞)

Step-by-step explanation:

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

-(3x -4) +3 ≥ 8

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

  -3x ≥ 1 . . . . . . . subtract 7

  x ≤ -1/3 . . . . . divide by 3

3x -4 +3 ≥ 8

  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, ∞)