Mister Exam

Other calculators

sin(x/2)<1 inequation

A inequation with variable

The solution

You have entered [src]
   /x\    
sin|-| < 1
   \2/    
$$\sin{\left(\frac{x}{2} \right)} < 1$$
sin(x/2) < 1
Solving inequality on a graph
Rapid solution [src]
Or(And(0 <= x, x < pi), And(x <= 4*pi, pi < x))
$$\left(0 \leq x \wedge x < \pi\right) \vee \left(x \leq 4 \pi \wedge \pi < x\right)$$
((0 <= x)∧(x < pi))∨((pi < x)∧(x <= 4*pi))
Rapid solution 2 [src]
[0, pi) U (pi, 4*pi]
$$x\ in\ \left[0, \pi\right) \cup \left(\pi, 4 \pi\right]$$
x in Union(Interval.Ropen(0, pi), Interval.Lopen(pi, 4*pi))