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Solving inequalities/ sin(t/2)>-√2/2

sin(t/2)>-√2/2 inequation

A inequation with variable

The solution

You have entered [src] 
            ___ 
   /t\   -\/ 2  
sin|-| > -------
   \2/      2
$$\sin{\left(\frac{t}{2} \right)} > \frac{\left(-1\right) \sqrt{2}}{2}$$ 
sin(t/2) > (-sqrt(2))/2
Rapid solution [src] 
  /   /            5*pi\     /           7*pi    \\
Or|And|0 <= x, x < ----|, And|x <= 4*pi, ---- < x||
  \   \             2  /     \            2      //
$$\left(0 \leq x \wedge x < \frac{5 \pi}{2}\right) \vee \left(x \leq 4 \pi \wedge \frac{7 \pi}{2} < x\right)$$ 
((0 <= x)∧(x < 5*pi/2))∨((x <= 4*pi)∧(7*pi/2 < x))
Rapid solution 2 [src] 
    5*pi     7*pi       
[0, ----) U (----, 4*pi]
     2        2
$$x\ in\ \left[0, \frac{5 \pi}{2}\right) \cup \left(\frac{7 \pi}{2}, 4 \pi\right]$$ 
x in Union(Interval.Ropen(0, 5*pi/2), Interval.Lopen(7*pi/2, 4*pi))
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