Mister Exam
5(3x^2+x)-4(2-7x)>2(3x^2+17) inequation
The solution
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/ 2 \ / 2 \ 5*\3*x + x/ - 4*(2 - 7*x) > 2*\3*x + 17/
$$- 4 \left(2 - 7 x\right) + 5 \left(3 x^{2} + x\right) > 2 \left(3 x^{2} + 17\right)$$
-4*(2 - 7*x) + 5*(3*x^2 + x) > 2*(3*x^2 + 17)
Solving inequality on a graph
Rapid solution
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Or(And(-oo < x, x < -14/3), And(1 < x, x < oo))
$$\left(-\infty < x \wedge x < - \frac{14}{3}\right) \vee \left(1 < x \wedge x < \infty\right)$$
((-oo < x)∧(x < -14/3))∨((1 < x)∧(x < oo))
Rapid solution 2
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(-oo, -14/3) U (1, oo)
$$x\ in\ \left(-\infty, - \frac{14}{3}\right) \cup \left(1, \infty\right)$$
x in Union(Interval.open(-oo, -14/3), Interval.open(1, oo))