What is the value of x for which (2x - 12)(5 - 3x) < 0

### 1 Answer | Add Yours

The values of x that satisfy (2x - 12)(5 - 3x) < 0 are those where either:

- 2x - 12 < 0 and 5 - 3x > 0

=> 2x < 12 and 5 > 3x

=> x < 6 and x < 5/3

=> x < 5/3

- 2x - 12 > 0 and 5 - 3x < 0

=> 2x > 12 and 5 < 3x

=> x > 6 and x > 5/3

=> x > 6

**The solution of the given inequality is **`(-oo, 5/3)U(6, oo)`

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes