Mister Exam
(k-8)/(3k+1)>0 inequation
The solution
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k - 8 ------- > 0 3*k + 1
$$\frac{k - 8}{3 k + 1} > 0$$
(k - 8)/(3*k + 1) > 0
Rapid solution 2
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(-oo, -1/3) U (8, oo)
$$x\ in\ \left(-\infty, - \frac{1}{3}\right) \cup \left(8, \infty\right)$$
x in Union(Interval.open(-oo, -1/3), Interval.open(8, oo))
Rapid solution
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Or(And(-oo < k, k < -1/3), And(8 < k, k < oo))
$$\left(-\infty < k \wedge k < - \frac{1}{3}\right) \vee \left(8 < k \wedge k < \infty\right)$$
((-oo < k)∧(k < -1/3))∨((8 < k)∧(k < oo))