Mister Exam

Other calculators

(9x^2-12x-3)/(3x-4)+(12x-25)/(3x-8)>3x+4 inequation

A inequation with variable

The solution

You have entered [src]
   2                                 
9*x  - 12*x - 3   12*x - 25          
--------------- + --------- > 3*x + 4
    3*x - 4        3*x - 8           
$$\frac{\left(9 x^{2} - 12 x\right) - 3}{3 x - 4} + \frac{12 x - 25}{3 x - 8} > 3 x + 4$$
(9*x^2 - 12*x - 3)/(3*x - 4) + (12*x - 25)/(3*x - 8) > 3*x + 4
Solving inequality on a graph
Rapid solution 2 [src]
(1/3, 4/3) U (8/3, oo)
$$x\ in\ \left(\frac{1}{3}, \frac{4}{3}\right) \cup \left(\frac{8}{3}, \infty\right)$$
x in Union(Interval.open(1/3, 4/3), Interval.open(8/3, oo))
Rapid solution [src]
Or(And(1/3 < x, x < 4/3), And(8/3 < x, x < oo))
$$\left(\frac{1}{3} < x \wedge x < \frac{4}{3}\right) \vee \left(\frac{8}{3} < x \wedge x < \infty\right)$$
((1/3 < x)∧(x < 4/3))∨((8/3 < x)∧(x < oo))