28.4k views
1 vote
Solve the following inequality. Use interval notation. ​

Solve the following inequality. Use interval notation. ​-example-1
User Max Zhukov
by
7.9k points

1 Answer

6 votes

9514 1404 393

Answer:

(-∞, -1/3) U (3, ∞)

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, ∞)

Solve the following inequality. Use interval notation. ​-example-1
User Awmleer
by
7.9k points