Problem
Solve the compound inequality and give your answer in interval notation.
3(2x – 7) – 12 >= 12x- 75
OR
– 3x + 10 > – 5x – 6
Solution
For this case we can solve the inequalities on this way:
6x -21 -12 >= 12x -75
We can subtract 6x in both sides and we got:
-3 >= 6x -75
-6x >= -72
x<=12
5x-3x +10 >-6
2x > -6 -10
2x> -16
x> -8
And the solution would be: