Mister Exam
(x+6*sqrt(x)+28)*1/120<(2-sqrt(x))*1/(x-6*sqrt(x)+8) inequation
The solution
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___ ___
x + 6*\/ x + 28 2 - \/ x
---------------- < ---------------
120 ___
x - 6*\/ x + 8
$$\frac{\left(6 \sqrt{x} + x\right) + 28}{120} < \frac{2 - \sqrt{x}}{\left(- 6 \sqrt{x} + x\right) + 8}$$
(6*sqrt(x) + x + 28)/120 < (2 - sqrt(x))/(-6*sqrt(x) + x + 8)
Solving inequality on a graph
Rapid solution
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Or(And(0 <= x, x < 4), And(4 < x, x < 16))
$$\left(0 \leq x \wedge x < 4\right) \vee \left(4 < x \wedge x < 16\right)$$
((0 <= x)∧(x < 4))∨((4 < x)∧(x < 16))
Rapid solution 2
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[0, 4) U (4, 16)
$$x\ in\ \left[0, 4\right) \cup \left(4, 16\right)$$
x in Union(Interval.Ropen(0, 4), Interval.open(4, 16))